31778052120 has 192 divisors, whose sum is σ = 108548294400. Its totient is φ = 8047100160.

The previous prime is 31778052041. The next prime is 31778052157. The reversal of 31778052120 is 2125087713.

31778052120 is a `hidden beast` number, since 31 + 7 + 7 + 80 + 521 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137115 + ... + 1164725.

It is an arithmetic number, because the mean of its divisors is an integer number (565355700).

Almost surely, 2^31778052120 is an apocalyptic number.

31778052120 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 31778052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54274147200).

31778052120 is an abundant number, since it is smaller than the sum of its proper divisors (76770242280).

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

31778052120 is a wasteful number, since it uses less digits than its factorization.

31778052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27790 (or 27783 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 31778052120 in words is "thirty-one billion, seven hundred seventy-eight million, fifty-two thousand, one hundred twenty".