31199070672 has 600 divisors, whose sum is σ = 116687308320. Its totient is φ = 7955781120.

The previous prime is 31199070671. The next prime is 31199070689. The reversal of 31199070672 is 27607099113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31199070671) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41213718 + ... + 41214474.

Almost surely, 2^31199070672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31199070672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58343654160).

31199070672 is an abundant number, since it is smaller than the sum of its proper divisors (85488237648).

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

31199070672 is a wasteful number, since it uses less digits than its factorization.

31199070672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 31199070672 in words is "thirty-one billion, one hundred ninety-nine million, seventy thousand, six hundred seventy-two".