20155334976000 has 6400 divisors, whose sum is σ = 99658901422080. Its totient is φ = 3941498880000.

The previous prime is 20155334975987. The next prime is 20155334976089. The reversal of 20155334976000 is 67943355102.

20155334976000 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 5 + 3 + 34 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

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

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 639 ways as a sum of consecutive naturals, for example, 491593535980 + ... + 491593536020.

Almost surely, 2^{20155334976000} is an apocalyptic number.

20155334976000 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 20155334976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49829450711040).

20155334976000 is an abundant number, since it is smaller than the sum of its proper divisors (79503566446080).

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

20155334976000 is a wasteful number, since it uses less digits than its factorization.

20155334976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 20155334976000 in words is "twenty trillion, one hundred fifty-five billion, three hundred thirty-four million, nine hundred seventy-six thousand".