20364075110400 has 936 divisors, whose sum is σ = 82929664170720. Its totient is φ = 4380787998720.

The previous prime is 20364075110347. The next prime is 20364075110419. The reversal of 20364075110400 is 401157046302.

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, 255857811 + ... + 255937389.

Almost surely, 2^{20364075110400} is an apocalyptic number.

20364075110400 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 20364075110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41464832085360).

20364075110400 is an abundant number, since it is smaller than the sum of its proper divisors (62565589060320).

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

20364075110400 is a wasteful number, since it uses less digits than its factorization.

20364075110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79647 (or 79613 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 20364075110400 in words is "twenty trillion, three hundred sixty-four billion, seventy-five million, one hundred ten thousand, four hundred".