1961601570864 has 360 divisors, whose sum is σ = 6301417777200. Its totient is φ = 587236303872.

The previous prime is 1961601570839. The next prime is 1961601570871. The reversal of 1961601570864 is 4680751061691.

1961601570864 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 6 + 0 + 1 + 570 + 8 + 64 = 666.

It is a super-2 number, since 2×1961601570864² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1961601570864.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69180562 + ... + 69208910.

It is an arithmetic number, because the mean of its divisors is an integer number (17503938270).

Almost surely, 2^{1961601570864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961601570864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150708888600).

1961601570864 is an abundant number, since it is smaller than the sum of its proper divisors (4339816206336).

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

1961601570864 is a wasteful number, since it uses less digits than its factorization.

1961601570864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28459 (or 28404 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1961601570864 in words is "one trillion, nine hundred sixty-one billion, six hundred one million, five hundred seventy thousand, eight hundred sixty-four".