18099152042400 has 3456 divisors, whose sum is σ = 81518042511360. Its totient is φ = 3713568768000.

The previous prime is 18099152042303. The next prime is 18099152042459. The reversal of 18099152042400 is 424025199081.

It is a happy number.

18099152042400 is a `hidden beast` number, since 1 + 8 + 0 + 99 + 152 + 0 + 4 + 2 + 400 = 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 575 ways as a sum of consecutive naturals, for example, 115281223122 + ... + 115281223278.

It is an arithmetic number, because the mean of its divisors is an integer number (23587396560).

Almost surely, 2^{18099152042400} is an apocalyptic number.

18099152042400 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 18099152042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40759021255680).

18099152042400 is an abundant number, since it is smaller than the sum of its proper divisors (63418890468960).

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

18099152042400 is a wasteful number, since it uses less digits than its factorization.

18099152042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18099152042400 in words is "eighteen trillion, ninety-nine billion, one hundred fifty-two million, forty-two thousand, four hundred".