20402565120 has 780 divisors, whose sum is σ = 85417910424. Its totient is φ = 4644864000.

The previous prime is 20402565119. The next prime is 20402565143. The reversal of 20402565120 is 2156520402.

20402565120 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 5 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×20402565120² (a number of 21 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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81284995 + ... + 81285245.

Almost surely, 2^20402565120 is an apocalyptic number.

20402565120 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 20402565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42708955212).

20402565120 is an abundant number, since it is smaller than the sum of its proper divisors (65015345304).

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

20402565120 is an equidigital number, since it uses as much as digits as its factorization.

20402565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20402565120 in words is "twenty billion, four hundred two million, five hundred sixty-five thousand, one hundred twenty".