10977425280 has 768 divisors, whose sum is σ = 42343741440. Its totient is φ = 2611445760.

The previous prime is 10977425231. The next prime is 10977425299. The reversal of 10977425280 is 8252477901.

It is a happy number.

10977425280 is a `hidden beast` number, since 10 + 9 + 77 + 42 + 528 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 233562217 + ... + 233562263.

It is an arithmetic number, because the mean of its divisors is an integer number (55135080).

Almost surely, 2^10977425280 is an apocalyptic number.

10977425280 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 10977425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21171870720).

10977425280 is an abundant number, since it is smaller than the sum of its proper divisors (31366316160).

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

10977425280 is a wasteful number, since it uses less digits than its factorization.

10977425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10977425280 in words is "ten billion, nine hundred seventy-seven million, four hundred twenty-five thousand, two hundred eighty".