18553745910000 has 400 divisors, whose sum is σ = 68465943684864. Its totient is φ = 4239883776000.

The previous prime is 18553745909983. The next prime is 18553745910001. The reversal of 18553745910000 is 1954735581.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18553745910001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1334123047 + ... + 1334136953.

Almost surely, 2^{18553745910000} is an apocalyptic number.

18553745910000 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 18553745910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34232971842432).

18553745910000 is an abundant number, since it is smaller than the sum of its proper divisors (49912197774864).

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

18553745910000 is a wasteful number, since it uses less digits than its factorization.

18553745910000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20298 (or 20277 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 18553745910000 in words is "eighteen trillion, five hundred fifty-three billion, seven hundred forty-five million, nine hundred ten thousand".