31161552998400 has 936 divisors, whose sum is σ = 122205189394080. Its totient is φ = 7526744064000.

The previous prime is 31161552998357. The next prime is 31161552998417. The reversal of 31161552998400 is 489925516113.

31161552998400 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 1 + 552 + 9 + 9 + 84 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2848660131 + ... + 2848671069.

It is an arithmetic number, because the mean of its divisors is an integer number (130561099780).

Almost surely, 2^{31161552998400} is an apocalyptic number.

31161552998400 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 31161552998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61102594697040).

31161552998400 is an abundant number, since it is smaller than the sum of its proper divisors (91043636395680).

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

31161552998400 is a wasteful number, since it uses less digits than its factorization.

31161552998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11271 (or 11241 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 31161552998400 in words is "thirty-one trillion, one hundred sixty-one billion, five hundred fifty-two million, nine hundred ninety-eight thousand, four hundred".