2156375789568 has 2080 divisors, whose sum is σ = 8908771694592. Its totient is φ = 501645312000.

The previous prime is 2156375789567. The next prime is 2156375789587. The reversal of 2156375789568 is 8659875736512.

2156375789568 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 3 + 7 + 57 + 8 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2156375789496 and 2156375789505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156375789567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14280634293 + ... + 14280634443.

Almost surely, 2^{2156375789568} is an apocalyptic number.

2156375789568 is a gapful number since it is divisible by the number (28) 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 2156375789568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454385847296).

2156375789568 is an abundant number, since it is smaller than the sum of its proper divisors (6752395905024).

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

2156375789568 is a wasteful number, since it uses less digits than its factorization.

2156375789568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 230 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 72.

The spelling of 2156375789568 in words is "two trillion, one hundred fifty-six billion, three hundred seventy-five million, seven hundred eighty-nine thousand, five hundred sixty-eight".