2157076260864 has 288 divisors, whose sum is σ = 7149683661120. Its totient is φ = 613741363200.

The previous prime is 2157076260821. The next prime is 2157076260887. The reversal of 2157076260864 is 4680626707512.

It is a happy number.

2157076260864 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 0 + 7 + 626 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2157076260864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31060099 + ... + 31129469.

It is an arithmetic number, because the mean of its divisors is an integer number (24825290490).

Almost surely, 2^{2157076260864} is an apocalyptic number.

2157076260864 is a gapful number since it is divisible by the number (24) 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 2157076260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574841830560).

2157076260864 is an abundant number, since it is smaller than the sum of its proper divisors (4992607400256).

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

2157076260864 is a wasteful number, since it uses less digits than its factorization.

2157076260864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69647 (or 69624 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2157076260864 in words is "two trillion, one hundred fifty-seven billion, seventy-six million, two hundred sixty thousand, eight hundred sixty-four".