20130875930880 has 720 divisors, whose sum is σ = 84625016946624. Its totient is φ = 4504808079360.

The previous prime is 20130875930743. The next prime is 20130875930881. The reversal of 20130875930880 is 8803957803102.

20130875930880 is a `hidden beast` number, since 2 + 0 + 130 + 87 + 59 + 308 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20130875930881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14147347 + ... + 15505133.

Almost surely, 2^{20130875930880} is an apocalyptic number.

20130875930880 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 20130875930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42312508473312).

20130875930880 is an abundant number, since it is smaller than the sum of its proper divisors (64494141015744).

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

20130875930880 is a wasteful number, since it uses less digits than its factorization.

20130875930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357844 (or 1357821 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 20130875930880 in words is "twenty trillion, one hundred thirty billion, eight hundred seventy-five million, nine hundred thirty thousand, eight hundred eighty".