2157197575680 has 960 divisors, whose sum is σ = 9225590774400. Its totient is φ = 464040493056.

The previous prime is 2157197575669. The next prime is 2157197575691. The reversal of 2157197575680 is 865757917512.

It is a happy number.

2157197575680 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 19 + 7 + 57 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2157197575669) and next prime (2157197575691).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 134338212 + ... + 134354268.

It is an arithmetic number, because the mean of its divisors is an integer number (9609990390).

Almost surely, 2^{2157197575680} is an apocalyptic number.

2157197575680 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 2157197575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612795387200).

2157197575680 is an abundant number, since it is smaller than the sum of its proper divisors (7068393198720).

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

2157197575680 is a wasteful number, since it uses less digits than its factorization.

2157197575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16124 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 63.

The spelling of 2157197575680 in words is "two trillion, one hundred fifty-seven billion, one hundred ninety-seven million, five hundred seventy-five thousand, six hundred eighty".