25162162080 has 576 divisors, whose sum is σ = 93683132928. Its totient is φ = 5626091520.

The previous prime is 25162162001. The next prime is 25162162087. The reversal of 25162162080 is 8026126152.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25162162087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81961287 + ... + 81961593.

It is an arithmetic number, because the mean of its divisors is an integer number (162644328).

Almost surely, 2^25162162080 is an apocalyptic number.

25162162080 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 25162162080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46841566464).

25162162080 is an abundant number, since it is smaller than the sum of its proper divisors (68520970848).

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

25162162080 is a wasteful number, since it uses less digits than its factorization.

25162162080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 25162162080 in words is "twenty-five billion, one hundred sixty-two million, one hundred sixty-two thousand, eighty".