18751861440 has 504 divisors, whose sum is σ = 71134193520. Its totient is φ = 4530659328.

The previous prime is 18751861409. The next prime is 18751861481. The reversal of 18751861440 is 4416815781.

18751861440 is a `hidden beast` number, since 1 + 87 + 51 + 86 + 1 + 440 = 666.

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 71 ways as a sum of consecutive naturals, for example, 28716154 + ... + 28716806.

Almost surely, 2^18751861440 is an apocalyptic number.

18751861440 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 18751861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35567096760).

18751861440 is an abundant number, since it is smaller than the sum of its proper divisors (52382332080).

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

18751861440 is a wasteful number, since it uses less digits than its factorization.

18751861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 18751861440 in words is "eighteen billion, seven hundred fifty-one million, eight hundred sixty-one thousand, four hundred forty".