10057722048000 has 1600 divisors, whose sum is σ = 43026099367680. Its totient is φ = 2309658624000.

The previous prime is 10057722047957. The next prime is 10057722048047. The reversal of 10057722048000 is 84022775001.

10057722048000 is a `hidden beast` number, since 1 + 0 + 0 + 577 + 2 + 2 + 0 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1083451359 + ... + 1083460641.

Almost surely, 2^{10057722048000} is an apocalyptic number.

10057722048000 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 10057722048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21513049683840).

10057722048000 is an abundant number, since it is smaller than the sum of its proper divisors (32968377319680).

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

10057722048000 is an equidigital number, since it uses as much as digits as its factorization.

10057722048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9358 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10057722048000 in words is "ten trillion, fifty-seven billion, seven hundred twenty-two million, forty-eight thousand".