25195497957000 has 256 divisors, whose sum is σ = 99822164083200. Its totient is φ = 5758970918400.

The previous prime is 25195497956939. The next prime is 25195497957013. The reversal of 25195497957000 is 75979459152.

25195497957000 is a `hidden beast` number, since 2 + 5 + 1 + 9 + 54 + 9 + 7 + 9 + 570 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66465757 + ... + 66843756.

It is an arithmetic number, because the mean of its divisors is an integer number (389930328450).

Almost surely, 2^{25195497957000} is an apocalyptic number.

25195497957000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25195497957000 is an abundant number, since it is smaller than the sum of its proper divisors (74626666126200).

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

25195497957000 is a wasteful number, since it uses less digits than its factorization.

25195497957000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133309550 (or 133309530 counting only the distinct ones).

The product of its (nonzero) digits is 35721000, while the sum is 63.

The spelling of 25195497957000 in words is "twenty-five trillion, one hundred ninety-five billion, four hundred ninety-seven million, nine hundred fifty-seven thousand".