20120654400 has 1008 divisors, whose sum is σ = 85454947200. Its totient is φ = 4139520000.

The previous prime is 20120654387. The next prime is 20120654461. The reversal of 20120654400 is 445602102.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 199214350 + ... + 199214450.

Almost surely, 2^20120654400 is an apocalyptic number.

20120654400 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 20120654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42727473600).

20120654400 is an abundant number, since it is smaller than the sum of its proper divisors (65334292800).

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

20120654400 is a wasteful number, since it uses less digits than its factorization.

20120654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 20120654400 in words is "twenty billion, one hundred twenty million, six hundred fifty-four thousand, four hundred".