875963842538400 has 11520 divisors, whose sum is σ = 4657137124147200. Its totient is φ = 154506756096000.

The previous prime is 875963842538327. The next prime is 875963842538423. The reversal of 875963842538400 is 4835248369578.

875963842538400 is a `hidden beast` number, since 8 + 7 + 5 + 9 + 6 + 3 + 8 + 42 + 538 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 4446516967102 + ... + 4446516967298.

It is an arithmetic number, because the mean of its divisors is an integer number (404265375360).

Almost surely, 2^{875963842538400} is an apocalyptic number.

875963842538400 is a gapful number since it is divisible by the number (80) 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 875963842538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328568562073600).

875963842538400 is an abundant number, since it is smaller than the sum of its proper divisors (3781173281608800).

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

875963842538400 is a wasteful number, since it uses less digits than its factorization.

875963842538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 875963842538400 in words is "eight hundred seventy-five trillion, nine hundred sixty-three billion, eight hundred forty-two million, five hundred thirty-eight thousand, four hundred".