2157328615680 has 1728 divisors, whose sum is σ = 9330627801600. Its totient is φ = 461699481600.

The previous prime is 2157328615657. The next prime is 2157328615747. The reversal of 2157328615680 is 865168237512.

2157328615680 is a `hidden beast` number, since 2 + 1 + 5 + 73 + 2 + 8 + 6 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30384910045 + ... + 30384910115.

Almost surely, 2^{2157328615680} is an apocalyptic number.

2157328615680 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 2157328615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665313900800).

2157328615680 is an abundant number, since it is smaller than the sum of its proper divisors (7173299185920).

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

2157328615680 is an equidigital number, since it uses as much as digits as its factorization.

2157328615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2157328615680 in words is "two trillion, one hundred fifty-seven billion, three hundred twenty-eight million, six hundred fifteen thousand, six hundred eighty".