31326979825152 has 360 divisors, whose sum is σ = 99430812400920. Its totient is φ = 9488002867200.

The previous prime is 31326979825103. The next prime is 31326979825171. The reversal of 31326979825152 is 25152897962313.

31326979825152 is a `hidden beast` number, since 3 + 1 + 3 + 26 + 9 + 7 + 98 + 2 + 515 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31326979825152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1131291627 + ... + 1131319317.

Almost surely, 2^{31326979825152} is an apocalyptic number.

31326979825152 is a gapful number since it is divisible by the number (32) 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 31326979825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49715406200460).

31326979825152 is an abundant number, since it is smaller than the sum of its proper divisors (68103832575768).

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

31326979825152 is a wasteful number, since it uses less digits than its factorization.

31326979825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29766 (or 29736 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 31326979825152 in words is "thirty-one trillion, three hundred twenty-six billion, nine hundred seventy-nine million, eight hundred twenty-five thousand, one hundred fifty-two".