20401113600 has 720 divisors, whose sum is σ = 86622664128. Its totient is φ = 4658135040.

The previous prime is 20401113589. The next prime is 20401113683. The reversal of 20401113600 is 631110402.

It is a happy number.

20401113600 is a `hidden beast` number, since 2 + 0 + 40 + 11 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20401113600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21772332 + ... + 21773268.

Almost surely, 2^20401113600 is an apocalyptic number.

20401113600 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 20401113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43311332064).

20401113600 is an abundant number, since it is smaller than the sum of its proper divisors (66221550528).

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

20401113600 is an frugal number, since it uses more digits than its factorization.

20401113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 20401113600 in words is "twenty billion, four hundred one million, one hundred thirteen thousand, six hundred".