13540705920 has 384 divisors, whose sum is σ = 54747463680. Its totient is φ = 3019161600.

The previous prime is 13540705909. The next prime is 13540705943. The reversal of 13540705920 is 2950704531.

13540705920 is a `hidden beast` number, since 13 + 54 + 0 + 7 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1649025 + ... + 1657215.

It is an arithmetic number, because the mean of its divisors is an integer number (142571520).

Almost surely, 2^13540705920 is an apocalyptic number.

13540705920 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 13540705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373731840).

13540705920 is an abundant number, since it is smaller than the sum of its proper divisors (41206757760).

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

13540705920 is a wasteful number, since it uses less digits than its factorization.

13540705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8249 counting only the distinct ones).

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

The spelling of 13540705920 in words is "thirteen billion, five hundred forty million, seven hundred five thousand, nine hundred twenty".