25221601152 has 640 divisors, whose sum is σ = 86670460800. Its totient is φ = 7211151360.

The previous prime is 25221601099. The next prime is 25221601157. The reversal of 25221601152 is 25110612252.

25221601152 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 1 + 601 + 1 + 52 = 666.

It is a super-2 number, since 2×25221601152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25221601157) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181450299 + ... + 181450437.

It is an arithmetic number, because the mean of its divisors is an integer number (135422595).

Almost surely, 2^25221601152 is an apocalyptic number.

25221601152 is a gapful number since it is divisible by the number (22) 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 25221601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43335230400).

25221601152 is an abundant number, since it is smaller than the sum of its proper divisors (61448859648).

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

25221601152 is a wasteful number, since it uses less digits than its factorization.

25221601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 25221601152 in words is "twenty-five billion, two hundred twenty-one million, six hundred one thousand, one hundred fifty-two".