13537999537920 has 864 divisors, whose sum is σ = 56200040193024. Its totient is φ = 2965008384000.

The previous prime is 13537999537901. The next prime is 13537999537939. The reversal of 13537999537920 is 2973599973531.

13537999537920 is a `hidden beast` number, since 1 + 35 + 37 + 9 + 9 + 9 + 537 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13537999537901) and next prime (13537999537939).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 77338495 + ... + 77513345.

It is an arithmetic number, because the mean of its divisors is an integer number (65046342816).

Almost surely, 2^{13537999537920} is an apocalyptic number.

13537999537920 is a gapful number since it is divisible by the number (10) 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 13537999537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28100020096512).

13537999537920 is an abundant number, since it is smaller than the sum of its proper divisors (42662040655104).

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

13537999537920 is a wasteful number, since it uses less digits than its factorization.

13537999537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174949 (or 174932 counting only the distinct ones).

The product of its (nonzero) digits is 434010150, while the sum is 72.

The spelling of 13537999537920 in words is "thirteen trillion, five hundred thirty-seven billion, nine hundred ninety-nine million, five hundred thirty-seven thousand, nine hundred twenty".