31134554880 has 864 divisors, whose sum is σ = 122755772160. Its totient is φ = 6628147200.

The previous prime is 31134554873. The next prime is 31134554881. The reversal of 31134554880 is 8845543113.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31134554881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527704291 + ... + 527704349.

It is an arithmetic number, because the mean of its divisors is an integer number (142078440).

Almost surely, 2^31134554880 is an apocalyptic number.

31134554880 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 31134554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61377886080).

31134554880 is an abundant number, since it is smaller than the sum of its proper divisors (91621217280).

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

31134554880 is a wasteful number, since it uses less digits than its factorization.

31134554880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 31134554880 in words is "thirty-one billion, one hundred thirty-four million, five hundred fifty-four thousand, eight hundred eighty".