31802159420856 has 256 divisors, whose sum is σ = 96924415680000. Its totient is φ = 9581686732800.

The previous prime is 31802159420831. The next prime is 31802159420861. The reversal of 31802159420856 is 65802495120813.

31802159420856 is a `hidden beast` number, since 3 + 1 + 8 + 0 + 21 + 594 + 20 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×31802159420856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505816590 + ... + 505879458.

It is an arithmetic number, because the mean of its divisors is an integer number (378610998750).

Almost surely, 2^{31802159420856} is an apocalyptic number.

31802159420856 is a gapful number since it is divisible by the number (36) 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 31802159420856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48462207840000).

31802159420856 is an abundant number, since it is smaller than the sum of its proper divisors (65122256259144).

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

31802159420856 is a wasteful number, since it uses less digits than its factorization.

31802159420856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64115 (or 64105 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 31802159420856 in words is "thirty-one trillion, eight hundred two billion, one hundred fifty-nine million, four hundred twenty thousand, eight hundred fifty-six".