10977246720 has 240 divisors, whose sum is σ = 41474367792. Its totient is φ = 2661089280.

The previous prime is 10977246719. The next prime is 10977246743. The reversal of 10977246720 is 2764277901.

10977246720 is a `hidden beast` number, since 10 + 97 + 72 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 231784 + ... + 275096.

Almost surely, 2^10977246720 is an apocalyptic number.

10977246720 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 10977246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20737183896).

10977246720 is an abundant number, since it is smaller than the sum of its proper divisors (30497121072).

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

10977246720 is a wasteful number, since it uses less digits than its factorization.

10977246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43353 (or 43334 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 10977246720 in words is "ten billion, nine hundred seventy-seven million, two hundred forty-six thousand, seven hundred twenty".