42570665164800 has 2112 divisors, whose sum is σ = 174127327905600. Its totient is φ = 10146860236800.

The previous prime is 42570665164733. The next prime is 42570665164837. The reversal of 42570665164800 is 846156607524.

42570665164800 is a `hidden beast` number, since 4 + 2 + 57 + 0 + 66 + 51 + 6 + 480 + 0 = 666.

It is a super-2 number, since 2×42570665164800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 697879756770 + ... + 697879756830.

Almost surely, 2^{42570665164800} is an apocalyptic number.

42570665164800 is a gapful number since it is divisible by the number (40) 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 42570665164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87063663952800).

42570665164800 is an abundant number, since it is smaller than the sum of its proper divisors (131556662740800).

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

42570665164800 is an frugal number, since it uses more digits than its factorization.

42570665164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 42570665164800 in words is "forty-two trillion, five hundred seventy billion, six hundred sixty-five million, one hundred sixty-four thousand, eight hundred".