20258255340 has 288 divisors, whose sum is σ = 64477969920. Its totient is φ = 5144832000.

The previous prime is 20258255333. The next prime is 20258255357. The reversal of 20258255340 is 4355285202.

It is a happy number.

20258255340 is a `hidden beast` number, since 2 + 0 + 25 + 82 + 553 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20258255295 and 20258255304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50519140 + ... + 50519540.

It is an arithmetic number, because the mean of its divisors is an integer number (223881840).

Almost surely, 2^20258255340 is an apocalyptic number.

20258255340 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 20258255340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32238984960).

20258255340 is an abundant number, since it is smaller than the sum of its proper divisors (44219714580).

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

20258255340 is a wasteful number, since it uses less digits than its factorization.

20258255340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 20258255340 in words is "twenty billion, two hundred fifty-eight million, two hundred fifty-five thousand, three hundred forty".