13542923520000 has 3840 divisors, whose sum is σ = 63001882944000. Its totient is φ = 2802843648000.

The previous prime is 13542923519941. The next prime is 13542923520023. The reversal of 13542923520000 is 2532924531.

13542923520000 is a `hidden beast` number, since 1 + 3 + 5 + 42 + 92 + 3 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 319 ways as a sum of consecutive naturals, for example, 152167679956 + ... + 152167680044.

It is an arithmetic number, because the mean of its divisors is an integer number (16406740350).

Almost surely, 2^{13542923520000} is an apocalyptic number.

13542923520000 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 13542923520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31500941472000).

13542923520000 is an abundant number, since it is smaller than the sum of its proper divisors (49458959424000).

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

13542923520000 is an equidigital number, since it uses as much as digits as its factorization.

13542923520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13542923520000 in words is "thirteen trillion, five hundred forty-two billion, nine hundred twenty-three million, five hundred twenty thousand".