13407505920 has 240 divisors, whose sum is σ = 48454746912. Its totient is φ = 3419750400.

The previous prime is 13407505907. The next prime is 13407505949. The reversal of 13407505920 is 2950570431.

13407505920 is a `hidden beast` number, since 13 + 4 + 0 + 7 + 50 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13407505920² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517270 + ... + 542570.

Almost surely, 2^13407505920 is an apocalyptic number.

13407505920 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 13407505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227373456).

13407505920 is an abundant number, since it is smaller than the sum of its proper divisors (35047240992).

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

13407505920 is a wasteful number, since it uses less digits than its factorization.

13407505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25353 (or 25334 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 13407505920 in words is "thirteen billion, four hundred seven million, five hundred five thousand, nine hundred twenty".