31159889879040 has 1792 divisors, whose sum is σ = 129021079219200. Its totient is φ = 7067752464384.

The previous prime is 31159889878963. The next prime is 31159889879051. The reversal of 31159889879040 is 4097898895113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 31159889879040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10107001339 + ... + 10107004421.

It is an arithmetic number, because the mean of its divisors is an integer number (71998370100).

Almost surely, 2^{31159889879040} is an apocalyptic number.

31159889879040 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 31159889879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64510539609600).

31159889879040 is an abundant number, since it is smaller than the sum of its proper divisors (97861189340160).

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

31159889879040 is a wasteful number, since it uses less digits than its factorization.

31159889879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 31159889879040 in words is "thirty-one trillion, one hundred fifty-nine billion, eight hundred eighty-nine million, eight hundred seventy-nine thousand, forty".