18025037681400 has 1728 divisors, whose sum is σ = 69165839040480. Its totient is φ = 4358740377600.

The previous prime is 18025037681393. The next prime is 18025037681447. The reversal of 18025037681400 is 418673052081.

18025037681400 is a `hidden beast` number, since 1 + 80 + 2 + 503 + 7 + 68 + 1 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 65072338062 + ... + 65072338338.

Almost surely, 2^{18025037681400} is an apocalyptic number.

18025037681400 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 18025037681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34582919520240).

18025037681400 is an abundant number, since it is smaller than the sum of its proper divisors (51140801359080).

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

18025037681400 is a wasteful number, since it uses less digits than its factorization.

18025037681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18025037681400 in words is "eighteen trillion, twenty-five billion, thirty-seven million, six hundred eighty-one thousand, four hundred".