10571479801920 has 560 divisors, whose sum is σ = 37893546768000. Its totient is φ = 2797478830080.

The previous prime is 10571479801891. The next prime is 10571479801937. The reversal of 10571479801920 is 2910897417501.

10571479801920 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 1 + 479 + 80 + 1 + 92 + 0 = 666.

It is a super-2 number, since 2×10571479801920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2109652215 + ... + 2109657225.

It is an arithmetic number, because the mean of its divisors is an integer number (67667047800).

Almost surely, 2^{10571479801920} is an apocalyptic number.

10571479801920 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 10571479801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946773384000).

10571479801920 is an abundant number, since it is smaller than the sum of its proper divisors (27322066966080).

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

10571479801920 is a wasteful number, since it uses less digits than its factorization.

10571479801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 10571479801920 in words is "ten trillion, five hundred seventy-one billion, four hundred seventy-nine million, eight hundred one thousand, nine hundred twenty".