10877577480 has 640 divisors, whose sum is σ = 46417536000. Its totient is φ = 2218959360.

The previous prime is 10877577457. The next prime is 10877577499. The reversal of 10877577480 is 8477577801.

10877577480 is a `hidden beast` number, since 10 + 87 + 7 + 5 + 77 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14718951 + ... + 14719689.

It is an arithmetic number, because the mean of its divisors is an integer number (72527400).

Almost surely, 2^10877577480 is an apocalyptic number.

10877577480 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 10877577480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23208768000).

10877577480 is an abundant number, since it is smaller than the sum of its proper divisors (35539958520).

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

10877577480 is a wasteful number, since it uses less digits than its factorization.

10877577480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 54.

The spelling of 10877577480 in words is "ten billion, eight hundred seventy-seven million, five hundred seventy-seven thousand, four hundred eighty".