31777955616 has 96 divisors (see below), whose sum is σ = 91339617600. Its totient is φ = 9593799680.

The previous prime is 31777955611. The next prime is 31777955641. The reversal of 31777955616 is 61655977713.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (31777955611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228130 + ... + 339998.

It is an arithmetic number, because the mean of its divisors is an integer number (951454350).

Almost surely, 2^31777955616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31777955616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45669808800).

31777955616 is an abundant number, since it is smaller than the sum of its proper divisors (59561661984).

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

31777955616 is a wasteful number, since it uses less digits than its factorization.

31777955616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112162 (or 112154 counting only the distinct ones).

The product of its digits is 8334900, while the sum is 57.

The spelling of 31777955616 in words is "thirty-one billion, seven hundred seventy-seven million, nine hundred fifty-five thousand, six hundred sixteen".