1957660356960 has 576 divisors, whose sum is σ = 8394597679104. Its totient is φ = 403580620800.

The previous prime is 1957660356943. The next prime is 1957660356983. The reversal of 1957660356960 is 696530667591.

1957660356960 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 6 + 6 + 0 + 3 + 569 + 60 = 666.

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, 14012250 + ... + 14151270.

It is an arithmetic number, because the mean of its divisors is an integer number (14573954304).

Almost surely, 2^{1957660356960} is an apocalyptic number.

1957660356960 is a gapful number since it is divisible by the number (10) 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 1957660356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197298839552).

1957660356960 is an abundant number, since it is smaller than the sum of its proper divisors (6436937322144).

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

1957660356960 is a wasteful number, since it uses less digits than its factorization.

1957660356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139187 (or 139176 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 1957660356960 in words is "one trillion, nine hundred fifty-seven billion, six hundred sixty million, three hundred fifty-six thousand, nine hundred sixty".