25432937953920 has 3840 divisors, whose sum is σ = 120895162502400. Its totient is φ = 5047220699136.

The previous prime is 25432937953901. The next prime is 25432937953939. The reversal of 25432937953920 is 2935973923452.

It is a happy number.

25432937953920 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 2 + 9 + 3 + 79 + 539 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (25432937953901) and next prime (25432937953939).

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 479 ways as a sum of consecutive naturals, for example, 28802873799 + ... + 28802874681.

It is an arithmetic number, because the mean of its divisors is an integer number (31483115235).

Almost surely, 2^{25432937953920} is an apocalyptic number.

25432937953920 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 25432937953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60447581251200).

25432937953920 is an abundant number, since it is smaller than the sum of its proper divisors (95462224548480).

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

25432937953920 is a wasteful number, since it uses less digits than its factorization.

25432937953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 25432937953920 in words is "twenty-five trillion, four hundred thirty-two billion, nine hundred thirty-seven million, nine hundred fifty-three thousand, nine hundred twenty".