18740953152000 has 960 divisors, whose sum is σ = 70294980083328. Its totient is φ = 4976640000000.

The previous prime is 18740953151989. The next prime is 18740953152013. The reversal of 18740953152000 is 25135904781.

18740953152000 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 0 + 95 + 31 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3903549600 + ... + 3903554400.

Almost surely, 2^{18740953152000} is an apocalyptic number.

18740953152000 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 18740953152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35147490041664).

18740953152000 is an abundant number, since it is smaller than the sum of its proper divisors (51554026931328).

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

18740953152000 is an frugal number, since it uses more digits than its factorization.

18740953152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 18740953152000 in words is "eighteen trillion, seven hundred forty billion, nine hundred fifty-three million, one hundred fifty-two thousand".