1000056920832 has 576 divisors, whose sum is σ = 3344127897600. Its totient is φ = 293121884160.

The previous prime is 1000056920827. The next prime is 1000056920843. The reversal of 1000056920832 is 2380296500001.

1000056920832 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 569 + 2 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1000056920832² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105631363 + ... + 105640829.

It is an arithmetic number, because the mean of its divisors is an integer number (5805777600).

Almost surely, 2^{1000056920832} is an apocalyptic number.

1000056920832 is a gapful number since it is divisible by the number (12) 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 1000056920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672063948800).

1000056920832 is an abundant number, since it is smaller than the sum of its proper divisors (2344070976768).

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

1000056920832 is a wasteful number, since it uses less digits than its factorization.

1000056920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1000056920832 in words is "one trillion, fifty-six million, nine hundred twenty thousand, eight hundred thirty-two".