10971240724080 has 2560 divisors, whose sum is σ = 50396774400000. Its totient is φ = 2173775450112.

The previous prime is 10971240724057. The next prime is 10971240724109. The reversal of 10971240724080 is 8042704217901.

10971240724080 is a `hidden beast` number, since 1 + 0 + 97 + 1 + 240 + 7 + 240 + 80 = 666.

It is a super-2 number, since 2×10971240724080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 30560558941 + ... + 30560559299.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240000).

Almost surely, 2^{10971240724080} is an apocalyptic number.

10971240724080 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 10971240724080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198387200000).

10971240724080 is an abundant number, since it is smaller than the sum of its proper divisors (39425533675920).

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

10971240724080 is a wasteful number, since it uses less digits than its factorization.

10971240724080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10971240724080 in words is "ten trillion, nine hundred seventy-one billion, two hundred forty million, seven hundred twenty-four thousand, eighty".