25966924945920 has 1280 divisors, whose sum is σ = 108078453964800. Its totient is φ = 5859468066816.

The previous prime is 25966924945799. The next prime is 25966924945931. The reversal of 25966924945920 is 2954942966952.

It is a happy number.

25966924945920 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 6 + 9 + 24 + 9 + 4 + 592 + 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 2×25966924945920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3096087967 + ... + 3096096353.

It is an arithmetic number, because the mean of its divisors is an integer number (84436292160).

Almost surely, 2^{25966924945920} is an apocalyptic number.

25966924945920 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 25966924945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54039226982400).

25966924945920 is an abundant number, since it is smaller than the sum of its proper divisors (82111529018880).

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

25966924945920 is an frugal number, since it uses more digits than its factorization.

25966924945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 25966924945920 in words is "twenty-five trillion, nine hundred sixty-six billion, nine hundred twenty-four million, nine hundred forty-five thousand, nine hundred twenty".