10977891120 has 800 divisors, whose sum is σ = 46414934016. Its totient is φ = 2351462400.

The previous prime is 10977891103. The next prime is 10977891137. The reversal of 10977891120 is 2119877901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10977891103) and next prime (10977891137).

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

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, 52027815 + ... + 52028025.

Almost surely, 2^10977891120 is an apocalyptic number.

10977891120 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 10977891120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207467008).

10977891120 is an abundant number, since it is smaller than the sum of its proper divisors (35437042896).

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

10977891120 is a wasteful number, since it uses less digits than its factorization.

10977891120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 10977891120 in words is "ten billion, nine hundred seventy-seven million, eight hundred ninety-one thousand, one hundred twenty".