25214613120 has 384 divisors, whose sum is σ = 90862611840. Its totient is φ = 6681636864.

The previous prime is 25214613113. The next prime is 25214613131. The reversal of 25214613120 is 2131641252.

25214613120 is a `hidden beast` number, since 2 + 5 + 21 + 4 + 613 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×25214613120² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30637029 + ... + 30637851.

It is an arithmetic number, because the mean of its divisors is an integer number (236621385).

Almost surely, 2^25214613120 is an apocalyptic number.

25214613120 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 25214613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45431305920).

25214613120 is an abundant number, since it is smaller than the sum of its proper divisors (65647998720).

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

25214613120 is an equidigital number, since it uses as much as digits as its factorization.

25214613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 25214613120 in words is "twenty-five billion, two hundred fourteen million, six hundred thirteen thousand, one hundred twenty".