25120982016 has 297 divisors, whose sum is σ = 79168549941. Its totient is φ = 7668670464.

The previous prime is 25120981999. The next prime is 25120982123. The reversal of 25120982016 is 61028902152.

The square root of 25120982016 is 158496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3716121600 + 21404860416 = 60960^2 + 146304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 197802945 + ... + 197803071.

Almost surely, 2^25120982016 is an apocalyptic number.

25120982016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

25120982016 is the 158496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25120982016

25120982016 is an abundant number, since it is smaller than the sum of its proper divisors (54047567925).

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

25120982016 is a wasteful number, since it uses less digits than its factorization.

25120982016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 25120982016 by its sum of digits (36), we get a square (904355352576 = 950976²).

25120982016 divided by its sum of digits (36) gives a square (697805056 = 26416²).

The spelling of 25120982016 in words is "twenty-five billion, one hundred twenty million, nine hundred eighty-two thousand, sixteen".