20370542400 has 1008 divisors, whose sum is σ = 85279010544. Its totient is φ = 4565237760.

The previous prime is 20370542399. The next prime is 20370542419. The reversal of 20370542400 is 424507302.

20370542400 is a `hidden beast` number, since 2 + 0 + 370 + 54 + 240 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 4807480896 + 15563061504 = 69336^2 + 124752^2 .

It is a congruent number.

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, 117748714 + ... + 117748886.

It is an arithmetic number, because the mean of its divisors is an integer number (84602193).

Almost surely, 2^20370542400 is an apocalyptic number.

20370542400 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 20370542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42639505272).

20370542400 is an abundant number, since it is smaller than the sum of its proper divisors (64908468144).

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

20370542400 is a wasteful number, since it uses less digits than its factorization.

20370542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 20370542400 in words is "twenty billion, three hundred seventy million, five hundred forty-two thousand, four hundred".