25085071740960 has 576 divisors, whose sum is σ = 106785687101184. Its totient is φ = 5209546752000.

The previous prime is 25085071740943. The next prime is 25085071741021. The reversal of 25085071740960 is 6904717058052.

25085071740960 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 507 + 1 + 7 + 40 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25085071740897 and 25085071740906.

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, 199632072 + ... + 199757688.

It is an arithmetic number, because the mean of its divisors is an integer number (185391817884).

Almost surely, 2^{25085071740960} is an apocalyptic number.

25085071740960 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 25085071740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53392843550592).

25085071740960 is an abundant number, since it is smaller than the sum of its proper divisors (81700615360224).

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

25085071740960 is a wasteful number, since it uses less digits than its factorization.

25085071740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127457 (or 127446 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 25085071740960 in words is "twenty-five trillion, eighty-five billion, seventy-one million, seven hundred forty thousand, nine hundred sixty".