25090652160 has 1152 divisors, whose sum is σ = 110388096000. Its totient is φ = 5138546688.

The previous prime is 25090652159. The next prime is 25090652221. The reversal of 25090652160 is 6125609052.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×25090652160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 281917396 + ... + 281917484.

It is an arithmetic number, because the mean of its divisors is an integer number (95823000).

Almost surely, 2^25090652160 is an apocalyptic number.

25090652160 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 25090652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55194048000).

25090652160 is an abundant number, since it is smaller than the sum of its proper divisors (85297443840).

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

25090652160 is a wasteful number, since it uses less digits than its factorization.

25090652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 25090652160 in words is "twenty-five billion, ninety million, six hundred fifty-two thousand, one hundred sixty".