18750378960 has 200 divisors, whose sum is σ = 65601299016. Its totient is φ = 4963368960.

The previous prime is 18750378943. The next prime is 18750378989. The reversal of 18750378960 is 6987305781.

18750378960 is a `hidden beast` number, since 1 + 8 + 7 + 503 + 78 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4101633936 + 14648745024 = 64044^2 + 121032^2 .

It is a super-2 number, since 2×18750378960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18750378897 and 18750378906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 877200 + ... + 898320.

Almost surely, 2^18750378960 is an apocalyptic number.

18750378960 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 18750378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32800649508).

18750378960 is an abundant number, since it is smaller than the sum of its proper divisors (46850920056).

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

18750378960 is a wasteful number, since it uses less digits than its factorization.

18750378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21283 (or 21268 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 18750378960 in words is "eighteen billion, seven hundred fifty million, three hundred seventy-eight thousand, nine hundred sixty".