18731798282400 has 576 divisors, whose sum is σ = 75287043820800. Its totient is φ = 4029694771200.

The previous prime is 18731798282339. The next prime is 18731798282411. The reversal of 18731798282400 is 428289713781.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 13325140 + ... + 14663660.

It is an arithmetic number, because the mean of its divisors is an integer number (130706673300).

Almost surely, 2^{18731798282400} is an apocalyptic number.

18731798282400 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 18731798282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37643521910400).

18731798282400 is an abundant number, since it is smaller than the sum of its proper divisors (56555245538400).

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

18731798282400 is a wasteful number, since it uses less digits than its factorization.

18731798282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338582 (or 1338555 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 18731798282400 in words is "eighteen trillion, seven hundred thirty-one billion, seven hundred ninety-eight million, two hundred eighty-two thousand, four hundred".