20131493760 has 640 divisors, whose sum is σ = 85041316800. Its totient is φ = 4440489984.

The previous prime is 20131493741. The next prime is 20131493777. The reversal of 20131493760 is 6739413102.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10522564 + ... + 10524476.

Almost surely, 2^20131493760 is an apocalyptic number.

20131493760 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 20131493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42520658400).

20131493760 is an abundant number, since it is smaller than the sum of its proper divisors (64909823040).

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

20131493760 is a wasteful number, since it uses less digits than its factorization.

20131493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20131493760 in words is "twenty billion, one hundred thirty-one million, four hundred ninety-three thousand, seven hundred sixty".