10979577024000 has 1920 divisors, whose sum is σ = 43195819290624. Its totient is φ = 2456616960000.

The previous prime is 10979577023939. The next prime is 10979577024041. The reversal of 10979577024000 is 42077597901.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×10979577024000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22361663755 + ... + 22361664245.

Almost surely, 2^{10979577024000} is an apocalyptic number.

10979577024000 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 10979577024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21597909645312).

10979577024000 is an abundant number, since it is smaller than the sum of its proper divisors (32216242266624).

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

10979577024000 is a wasteful number, since it uses less digits than its factorization.

10979577024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 51.

The spelling of 10979577024000 in words is "ten trillion, nine hundred seventy-nine billion, five hundred seventy-seven million, twenty-four thousand".