31777993980 has 192 divisors, whose sum is σ = 103495311360. Its totient is φ = 8084966400.

The previous prime is 31777993979. The next prime is 31777993987. The reversal of 31777993980 is 8939977713.

31777993980 is a `hidden beast` number, since 3 + 177 + 79 + 9 + 398 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31777993987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175172 + ... + 1201908.

It is an arithmetic number, because the mean of its divisors is an integer number (539038080).

Almost surely, 2^31777993980 is an apocalyptic number.

31777993980 is a gapful number since it is divisible by the number (30) 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 31777993980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51747655680).

31777993980 is an abundant number, since it is smaller than the sum of its proper divisors (71717317380).

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

31777993980 is a wasteful number, since it uses less digits than its factorization.

31777993980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26857 (or 26849 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 63.

The spelling of 31777993980 in words is "thirty-one billion, seven hundred seventy-seven million, nine hundred ninety-three thousand, nine hundred eighty".