25372405114000 has 480 divisors, whose sum is σ = 71707465151712. Its totient is φ = 8657725440000.

The previous prime is 25372405113977. The next prime is 25372405114027. The reversal of 25372405114000 is 41150427352.

It can be written as a sum of positive squares in 16 ways, for example, as 25319534549904 + 52870564096 = 5031852^2 + 229936^2 .

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, 33340873620 + ... + 33340874380.

Almost surely, 2^{25372405114000} is an apocalyptic number.

25372405114000 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 25372405114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35853732575856).

25372405114000 is an abundant number, since it is smaller than the sum of its proper divisors (46335060037712).

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

25372405114000 is a wasteful number, since it uses less digits than its factorization.

25372405114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 25372405114000 in words is "twenty-five trillion, three hundred seventy-two billion, four hundred five million, one hundred fourteen thousand".