10977655494960 has 1920 divisors, whose sum is σ = 51471691315200. Its totient is φ = 2024258273280.

The previous prime is 10977655494931. The next prime is 10977655494961. The reversal of 10977655494960 is 6949455677901.

It is a happy number.

10977655494960 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 7 + 6 + 554 + 9 + 4 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10977655494961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4100729142 + ... + 4100731818.

It is an arithmetic number, because the mean of its divisors is an integer number (26808172560).

Almost surely, 2^{10977655494960} is an apocalyptic number.

10977655494960 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 10977655494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25735845657600).

10977655494960 is an abundant number, since it is smaller than the sum of its proper divisors (40494035820240).

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

10977655494960 is a wasteful number, since it uses less digits than its factorization.

10977655494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 10977655494960 in words is "ten trillion, nine hundred seventy-seven billion, six hundred fifty-five million, four hundred ninety-four thousand, nine hundred sixty".