20115664800 has 1152 divisors, whose sum is σ = 91254159360. Its totient is φ = 3715891200.

The previous prime is 20115664763. The next prime is 20115664823. The reversal of 20115664800 is 846651102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59690232 + ... + 59690568.

It is an arithmetic number, because the mean of its divisors is an integer number (79213680).

Almost surely, 2^20115664800 is an apocalyptic number.

20115664800 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 20115664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45627079680).

20115664800 is an abundant number, since it is smaller than the sum of its proper divisors (71138494560).

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

20115664800 is a wasteful number, since it uses less digits than its factorization.

20115664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 20115664800 in words is "twenty billion, one hundred fifteen million, six hundred sixty-four thousand, eight hundred".