2157070867200 has 864 divisors, whose sum is σ = 8645566648320. Its totient is φ = 523896422400.

The previous prime is 2157070867121. The next prime is 2157070867219. The reversal of 2157070867200 is 27680707512.

2157070867200 is a `hidden beast` number, since 2 + 1 + 570 + 7 + 0 + 8 + 6 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2157070867200² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 91053757 + ... + 91077443.

It is an arithmetic number, because the mean of its divisors is an integer number (10006442880).

Almost surely, 2^{2157070867200} is an apocalyptic number.

2157070867200 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 2157070867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322783324160).

2157070867200 is an abundant number, since it is smaller than the sum of its proper divisors (6488495781120).

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

2157070867200 is a wasteful number, since it uses less digits than its factorization.

2157070867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23770 (or 23745 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 2157070867200 in words is "two trillion, one hundred fifty-seven billion, seventy million, eight hundred sixty-seven thousand, two hundred".