25377916032 has 256 divisors, whose sum is σ = 85777920000. Its totient is φ = 7235785728.

The previous prime is 25377916021. The next prime is 25377916033. The reversal of 25377916032 is 23061977352.

25377916032 is a `hidden beast` number, since 2 + 5 + 37 + 7 + 9 + 1 + 603 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (25377916033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17393319 + ... + 17394777.

It is an arithmetic number, because the mean of its divisors is an integer number (335070000).

Almost surely, 2^25377916032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25377916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42888960000).

25377916032 is an abundant number, since it is smaller than the sum of its proper divisors (60400003968).

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

25377916032 is a wasteful number, since it uses less digits than its factorization.

25377916032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 25377916032 in words is "twenty-five billion, three hundred seventy-seven million, nine hundred sixteen thousand, thirty-two".