25155530400 has 1152 divisors, whose sum is σ = 113308747776. Its totient is φ = 4678041600.

The previous prime is 25155530383. The next prime is 25155530417. The reversal of 25155530400 is 403555152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25155530383) and next prime (25155530417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88888659 + ... + 88888941.

It is an arithmetic number, because the mean of its divisors is an integer number (98358288).

Almost surely, 2^25155530400 is an apocalyptic number.

25155530400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25155530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56654373888).

25155530400 is an abundant number, since it is smaller than the sum of its proper divisors (88153217376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25155530400 is a wasteful number, since it uses less digits than its factorization.

25155530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

It can be divided in two parts, 25155 and 530400, that added together give a palindrome (555555).

The spelling of 25155530400 in words is "twenty-five billion, one hundred fifty-five million, five hundred thirty thousand, four hundred".