25106961152 has 288 divisors, whose sum is σ = 65574136320. Its totient is φ = 9316270080.

The previous prime is 25106961151. The next prime is 25106961169. The reversal of 25106961152 is 25116960152.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (25106961151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57983528 + ... + 57983960.

Almost surely, 2^25106961152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25106961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32787068160).

25106961152 is an abundant number, since it is smaller than the sum of its proper divisors (40467175168).

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

25106961152 is a wasteful number, since it uses less digits than its factorization.

25106961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 25106961152 in words is "twenty-five billion, one hundred six million, nine hundred sixty-one thousand, one hundred fifty-two".