20115052400 has 120 divisors (see below), whose sum is σ = 48840557040. Its totient is φ = 7960852480.

The previous prime is 20115052393. The next prime is 20115052469. The reversal of 20115052400 is 425051102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30523271 + ... + 30523929.

It is an arithmetic number, because the mean of its divisors is an integer number (407004642).

Almost surely, 2^20115052400 is an apocalyptic number.

20115052400 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 20115052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420278520).

20115052400 is an abundant number, since it is smaller than the sum of its proper divisors (28725504640).

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

20115052400 is a wasteful number, since it uses less digits than its factorization.

20115052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 20115052400 in words is "twenty billion, one hundred fifteen million, fifty-two thousand, four hundred".