31127690880 has 1920 divisors, whose sum is σ = 146356372800. Its totient is φ = 6210846720.

The previous prime is 31127690833. The next prime is 31127690921. The reversal of 31127690880 is 8809672113.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1638299511 + ... + 1638299529.

Almost surely, 2^31127690880 is an apocalyptic number.

31127690880 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 31127690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73178186400).

31127690880 is an abundant number, since it is smaller than the sum of its proper divisors (115228681920).

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

31127690880 is a wasteful number, since it uses less digits than its factorization.

31127690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 31127690880 in words is "thirty-one billion, one hundred twenty-seven million, six hundred ninety thousand, eight hundred eighty".