30836973132000 has 1152 divisors, whose sum is σ = 137337509836800. Its totient is φ = 6633811353600.

The previous prime is 30836973131989. The next prime is 30836973132067. The reversal of 30836973132000 is 23137963803.

30836973132000 is a `hidden beast` number, since 3 + 0 + 8 + 369 + 73 + 13 + 200 + 0 = 666.

It is a super-4 number, since 4×30836973132000⁴ (a number of 55 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115534701 + ... + 115801299.

It is an arithmetic number, because the mean of its divisors is an integer number (119216588400).

Almost surely, 2^{30836973132000} is an apocalyptic number.

30836973132000 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 30836973132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68668754918400).

30836973132000 is an abundant number, since it is smaller than the sum of its proper divisors (106500536704800).

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

30836973132000 is a wasteful number, since it uses less digits than its factorization.

30836973132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266663 (or 266633 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 30836973132000 in words is "thirty trillion, eight hundred thirty-six billion, nine hundred seventy-three million, one hundred thirty-two thousand".