180861206400 has 1152 divisors, whose sum is σ = 773450496000. Its totient is φ = 40878120960.

The previous prime is 180861206341. The next prime is 180861206413. The reversal of 180861206400 is 4602168081.

180861206400 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 6 + 1 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 811036689 + ... + 811036911.

It is an arithmetic number, because the mean of its divisors is an integer number (671398000).

Almost surely, 2^180861206400 is an apocalyptic number.

180861206400 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 180861206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386725248000).

180861206400 is an abundant number, since it is smaller than the sum of its proper divisors (592589289600).

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

180861206400 is a wasteful number, since it uses less digits than its factorization.

180861206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 180861206400 in words is "one hundred eighty billion, eight hundred sixty-one million, two hundred six thousand, four hundred".