20157347437200 has 600 divisors, whose sum is σ = 72972039222720. Its totient is φ = 5328649497600.

The previous prime is 20157347437187. The next prime is 20157347437267. The reversal of 20157347437200 is 273474375102.

20157347437200 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 7 + 3 + 4 + 7 + 437 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5420096941 + ... + 5420100659.

Almost surely, 2^{20157347437200} is an apocalyptic number.

20157347437200 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 20157347437200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36486019611360).

20157347437200 is an abundant number, since it is smaller than the sum of its proper divisors (52814691785520).

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

20157347437200 is a wasteful number, since it uses less digits than its factorization.

20157347437200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 20157347437200 in words is "twenty trillion, one hundred fifty-seven billion, three hundred forty-seven million, four hundred thirty-seven thousand, two hundred".