31785674675040 has 1152 divisors, whose sum is σ = 136044556712064. Its totient is φ = 6694384435200.

The previous prime is 31785674675021. The next prime is 31785674675063. The reversal of 31785674675040 is 4057647658713.

31785674675040 is a `hidden beast` number, since 3 + 1 + 7 + 8 + 5 + 67 + 4 + 67 + 504 + 0 = 666.

It is a super-2 number, since 2×31785674675040² (a number of 28 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 191 ways as a sum of consecutive naturals, for example, 423539920 + ... + 423614960.

It is an arithmetic number, because the mean of its divisors is an integer number (118094233257).

Almost surely, 2^{31785674675040} is an apocalyptic number.

31785674675040 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 31785674675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68022278356032).

31785674675040 is an abundant number, since it is smaller than the sum of its proper divisors (104258882037024).

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

31785674675040 is a wasteful number, since it uses less digits than its factorization.

31785674675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75125 (or 75092 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 31785674675040 in words is "thirty-one trillion, seven hundred eighty-five billion, six hundred seventy-four million, six hundred seventy-five thousand, forty".