18873290035600 has 2025 divisors, whose sum is σ = 65056167582147. Its totient is φ = 5254913664000.

The previous prime is 18873290035577. The next prime is 18873290035627. The reversal of 18873290035600 is 653009237881.

The square root of 18873290035600 is 4344340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4864618425744 + 14008671609856 = 2205588^2 + 3742816^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 608815807585 + ... + 608815807615.

Almost surely, 2^{18873290035600} is an apocalyptic number.

18873290035600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18873290035600 is the 4344340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18873290035600

18873290035600 is an abundant number, since it is smaller than the sum of its proper divisors (46182877546547).

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

18873290035600 is a wasteful number, since it uses less digits than its factorization.

18873290035600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 18873290035600 in words is "eighteen trillion, eight hundred seventy-three billion, two hundred ninety million, thirty-five thousand, six hundred".