31161095200620 has 720 divisors, whose sum is σ = 124443269086752. Its totient is φ = 6454549463040.

The previous prime is 31161095200591. The next prime is 31161095200649. The reversal of 31161095200620 is 2600259016113.

31161095200620 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 1 + 0 + 9 + 5 + 20 + 0 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (31161095200591) and next prime (31161095200649).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 276741772 + ... + 276854348.

Almost surely, 2^{31161095200620} is an apocalyptic number.

31161095200620 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 31161095200620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62221634543376).

31161095200620 is an abundant number, since it is smaller than the sum of its proper divisors (93282173886132).

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

31161095200620 is a wasteful number, since it uses less digits than its factorization.

31161095200620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112940 (or 112922 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 31161095200620 in words is "thirty-one trillion, one hundred sixty-one billion, ninety-five million, two hundred thousand, six hundred twenty".