25348551870096 has 2160 divisors, whose sum is σ = 96949939806720. Its totient is φ = 6382809538560.

The previous prime is 25348551870029. The next prime is 25348551870137. The reversal of 25348551870096 is 69007815584352.

25348551870096 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 8 + 551 + 8 + 70 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 108792067996 + ... + 108792068228.

It is an arithmetic number, because the mean of its divisors is an integer number (44884231392).

It is a 1-persistent number, because it is pandigital, but 2⋅25348551870096 = 50697103740192 is not.

Almost surely, 2^{25348551870096} is an apocalyptic number.

25348551870096 is a gapful number since it is divisible by the number (26) 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 25348551870096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48474969903360).

25348551870096 is an abundant number, since it is smaller than the sum of its proper divisors (71601387936624).

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

25348551870096 is a wasteful number, since it uses less digits than its factorization.

25348551870096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 25348551870096 in words is "twenty-five trillion, three hundred forty-eight billion, five hundred fifty-one million, eight hundred seventy thousand, ninety-six".