25316960140800 has 480 divisors, whose sum is σ = 94902750835200. Its totient is φ = 6607542804480.

The previous prime is 25316960140799. The next prime is 25316960140811. The reversal of 25316960140800 is 804106961352.

25316960140800 is a `hidden beast` number, since 2 + 5 + 31 + 6 + 9 + 601 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15463891 + ... + 17022509.

It is an arithmetic number, because the mean of its divisors is an integer number (197714064240).

Almost surely, 2^{25316960140800} is an apocalyptic number.

25316960140800 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 25316960140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47451375417600).

25316960140800 is an abundant number, since it is smaller than the sum of its proper divisors (69585790694400).

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

25316960140800 is a wasteful number, since it uses less digits than its factorization.

25316960140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558703 (or 1558676 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 25316960140800 in words is "twenty-five trillion, three hundred sixteen billion, nine hundred sixty million, one hundred forty thousand, eight hundred".