360399600000 has 1152 divisors, whose sum is σ = 1491654528000. Its totient is φ = 82598400000.

The previous prime is 360399599999. The next prime is 360399600013. The reversal of 360399600000 is 6993063.

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, 752399761 + ... + 752400239.

It is an arithmetic number, because the mean of its divisors is an integer number (1294839000).

Almost surely, 2^360399600000 is an apocalyptic number.

360399600000 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 360399600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745827264000).

360399600000 is an abundant number, since it is smaller than the sum of its proper divisors (1131254928000).

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

360399600000 is a wasteful number, since it uses less digits than its factorization.

360399600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 360399600000 in words is "three hundred sixty billion, three hundred ninety-nine million, six hundred thousand".