13753070352 has 400 divisors, whose sum is σ = 48586552960. Its totient is φ = 3668281344.

The previous prime is 13753070339. The next prime is 13753070389. The reversal of 13753070352 is 25307035731.

13753070352 is a `hidden beast` number, since 1 + 3 + 7 + 530 + 70 + 3 + 52 = 666.

It is a super-2 number, since 2×13753070352² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12582318 + ... + 12583410.

Almost surely, 2^13753070352 is an apocalyptic number.

13753070352 is a gapful number since it is divisible by the number (12) 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 13753070352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24293276480).

13753070352 is an abundant number, since it is smaller than the sum of its proper divisors (34833482608).

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

13753070352 is a wasteful number, since it uses less digits than its factorization.

13753070352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The spelling of 13753070352 in words is "thirteen billion, seven hundred fifty-three million, seventy thousand, three hundred fifty-two".