20387256120 has 1920 divisors, whose sum is σ = 100111334400. Its totient is φ = 3613040640.

The previous prime is 20387256089. The next prime is 20387256167. The reversal of 20387256120 is 2165278302.

20387256120 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 72 + 561 + 20 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 479 ways as a sum of consecutive naturals, for example, 886402429 + ... + 886402451.

It is an arithmetic number, because the mean of its divisors is an integer number (52141320).

Almost surely, 2^20387256120 is an apocalyptic number.

20387256120 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 20387256120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50055667200).

20387256120 is an abundant number, since it is smaller than the sum of its proper divisors (79724078280).

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

20387256120 is a wasteful number, since it uses less digits than its factorization.

20387256120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20387256120 in words is "twenty billion, three hundred eighty-seven million, two hundred fifty-six thousand, one hundred twenty".