20070813312000 has 2816 divisors, whose sum is σ = 84463058534400. Its totient is φ = 4658135040000.

The previous prime is 20070813311909. The next prime is 20070813312061. The reversal of 20070813312000 is 21331807002.

20070813312000 is a `hidden beast` number, since 200 + 70 + 81 + 3 + 312 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 123133823919 + ... + 123133824081.

Almost surely, 2^{20070813312000} is an apocalyptic number.

20070813312000 is a gapful number since it is divisible by the number (20) 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 20070813312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42231529267200).

20070813312000 is an abundant number, since it is smaller than the sum of its proper divisors (64392245222400).

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

20070813312000 is a wasteful number, since it uses less digits than its factorization.

20070813312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20070813312000 in words is "twenty trillion, seventy billion, eight hundred thirteen million, three hundred twelve thousand".