25945060264704 has 2592 divisors, whose sum is σ = 99551568596480. Its totient is φ = 6582589784064.

The previous prime is 25945060264693. The next prime is 25945060264727. The reversal of 25945060264704 is 40746206054952.

25945060264704 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 506 + 0 + 2 + 64 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 355411784412 + ... + 355411784484.

Almost surely, 2^{25945060264704} is an apocalyptic number.

25945060264704 is a gapful number since it is divisible by the number (24) 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 25945060264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49775784298240).

25945060264704 is an abundant number, since it is smaller than the sum of its proper divisors (73606508331776).

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

25945060264704 is an frugal number, since it uses more digits than its factorization.

25945060264704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 25945060264704 in words is "twenty-five trillion, nine hundred forty-five billion, sixty million, two hundred sixty-four thousand, seven hundred four".