25197896171520 has 1280 divisors, whose sum is σ = 97137604365120. Its totient is φ = 6226050023424.

The previous prime is 25197896171519. The next prime is 25197896171531. The reversal of 25197896171520 is 2517169879152.

25197896171520 is a `hidden beast` number, since 2 + 5 + 1 + 9 + 7 + 8 + 9 + 617 + 1 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×25197896171520² (a number of 28 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 15115713727 + ... + 15115715393.

Almost surely, 2^{25197896171520} is an apocalyptic number.

25197896171520 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 25197896171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568802182560).

25197896171520 is an abundant number, since it is smaller than the sum of its proper divisors (71939708193600).

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

25197896171520 is an equidigital number, since it uses as much as digits as its factorization.

25197896171520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 63.

The spelling of 25197896171520 in words is "twenty-five trillion, one hundred ninety-seven billion, eight hundred ninety-six million, one hundred seventy-one thousand, five hundred twenty".