20625279014088 has 576 divisors, whose sum is σ = 68944442112000. Its totient is φ = 5757177928320.

The previous prime is 20625279014057. The next prime is 20625279014227. The reversal of 20625279014088 is 88041097252602.

20625279014088 is a `hidden beast` number, since 2 + 0 + 625 + 2 + 7 + 9 + 0 + 1 + 4 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×20625279014088² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2681738323 + ... + 2681746013.

It is an arithmetic number, because the mean of its divisors is an integer number (119695212000).

Almost surely, 2^{20625279014088} is an apocalyptic number.

20625279014088 is a gapful number since it is divisible by the number (28) 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 20625279014088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34472221056000).

20625279014088 is an abundant number, since it is smaller than the sum of its proper divisors (48319163097912).

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

20625279014088 is a wasteful number, since it uses less digits than its factorization.

20625279014088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20625279014088 in words is "twenty trillion, six hundred twenty-five billion, two hundred seventy-nine million, fourteen thousand, eighty-eight".