10977349152 has 96 divisors (see below), whose sum is σ = 35925894144. Its totient is φ = 2851257600.

The previous prime is 10977349151. The next prime is 10977349153. The reversal of 10977349152 is 25194377901.

It is an interprime number because it is at equal distance from previous prime (10977349151) and next prime (10977349153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10977349151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735124 + ... + 749907.

It is an arithmetic number, because the mean of its divisors is an integer number (374228064).

Almost surely, 2^10977349152 is an apocalyptic number.

10977349152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10977349152 is an abundant number, since it is smaller than the sum of its proper divisors (24948544992).

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

10977349152 is a wasteful number, since it uses less digits than its factorization.

10977349152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485062 (or 1485054 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 10977349152 in words is "ten billion, nine hundred seventy-seven million, three hundred forty-nine thousand, one hundred fifty-two".