10977855120 has 120 divisors (see below), whose sum is σ = 37115091000. Its totient is φ = 2907752448.

The previous prime is 10977855107. The next prime is 10977855149. The reversal of 10977855120 is 2155877901.

10977855120 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 78 + 551 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 10969629696 = 2868^2 + 104736^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 56116 + ... + 158444.

It is an arithmetic number, because the mean of its divisors is an integer number (309292425).

Almost surely, 2^10977855120 is an apocalyptic number.

10977855120 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 10977855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18557545500).

10977855120 is an abundant number, since it is smaller than the sum of its proper divisors (26137235880).

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

10977855120 is a wasteful number, since it uses less digits than its factorization.

10977855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102497 (or 102488 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 10977855120 in words is "ten billion, nine hundred seventy-seven million, eight hundred fifty-five thousand, one hundred twenty".