10077676920444 has 72 divisors (see below), whose sum is σ = 28547606200960. Its totient is φ = 2709963535104.

The previous prime is 10077676920431. The next prime is 10077676920499. The reversal of 10077676920444 is 44402967677001.

10077676920444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10077676920444² (a number of 27 digits) contains 22 as substring.

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, 207540334 + ... + 207588885.

Almost surely, 2^{10077676920444} is an apocalyptic number.

10077676920444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10077676920444 is an abundant number, since it is smaller than the sum of its proper divisors (18469929280516).

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

10077676920444 is a wasteful number, since it uses less digits than its factorization.

10077676920444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415129267 (or 415129248 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 10077676920444 in words is "ten trillion, seventy-seven billion, six hundred seventy-six million, nine hundred twenty thousand, four hundred forty-four".