360884160000 has 2800 divisors, whose sum is σ = 1760505382944. Its totient is φ = 71663616000.

The previous prime is 360884159981. The next prime is 360884160023. The reversal of 360884160000 is 61488063.

It is a happy number.

360884160000 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 8 + 41 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

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 279 ways as a sum of consecutive naturals, for example, 21228479992 + ... + 21228480008.

Almost surely, 2^360884160000 is an apocalyptic number.

360884160000 is a gapful number since it is divisible by the number (30) 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 360884160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880252691472).

360884160000 is an abundant number, since it is smaller than the sum of its proper divisors (1399621222944).

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

360884160000 is an frugal number, since it uses more digits than its factorization.

360884160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 360884160000 in words is "three hundred sixty billion, eight hundred eighty-four million, one hundred sixty thousand".