10077986880 has 168 divisors, whose sum is σ = 37330681752. Its totient is φ = 2480726016.

The previous prime is 10077986879. The next prime is 10077986921. The reversal of 10077986880 is 8868977001.

It can be written as a sum of positive squares in 4 ways, for example, as 90782784 + 9987204096 = 9528^2 + 99936^2 .

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, 97149 + ... + 172028.

It is an arithmetic number, because the mean of its divisors is an integer number (222206439).

Almost surely, 2^10077986880 is an apocalyptic number.

10077986880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077986880 is an abundant number, since it is smaller than the sum of its proper divisors (27252694872).

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

10077986880 is a wasteful number, since it uses less digits than its factorization.

10077986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269213 (or 269200 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 10077986880 in words is "ten billion, seventy-seven million, nine hundred eighty-six thousand, eight hundred eighty".