20513156040000 has 1960 divisors, whose sum is σ = 83762109851112. Its totient is φ = 4949268480000.

The previous prime is 20513156039989. The next prime is 20513156040007. The reversal of 20513156040000 is 4065131502.

20513156040000 is a `hidden beast` number, since 2 + 0 + 51 + 3 + 1 + 5 + 604 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 20414926450944 + 98229589056 = 4518288^2 + 313416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20513156040007) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 20091239490 + ... + 20091240510.

Almost surely, 2^{20513156040000} is an apocalyptic number.

20513156040000 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 20513156040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41881054925556).

20513156040000 is an abundant number, since it is smaller than the sum of its proper divisors (63248953811112).

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

20513156040000 is an equidigital number, since it uses as much as digits as its factorization.

20513156040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 20513156040000 in words is "twenty trillion, five hundred thirteen billion, one hundred fifty-six million, forty thousand".