31266406080 has 2016 divisors, whose sum is σ = 152609702400. Its totient is φ = 5977939968.

The previous prime is 31266406063. The next prime is 31266406081. The reversal of 31266406080 is 8060466213.

31266406080 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 6 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31266406081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1359408949 + ... + 1359408971.

Almost surely, 2^31266406080 is an apocalyptic number.

31266406080 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 31266406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76304851200).

31266406080 is an abundant number, since it is smaller than the sum of its proper divisors (121343296320).

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

31266406080 is a wasteful number, since it uses less digits than its factorization.

31266406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31266406080 in words is "thirty-one billion, two hundred sixty-six million, four hundred six thousand, eighty".