363125880000 has 420 divisors, whose sum is σ = 1400693422128. Its totient is φ = 89383680000.

The previous prime is 363125879983. The next prime is 363125880031. The reversal of 363125880000 is 88521363.

363125880000 is a `hidden beast` number, since 3 + 63 + 12 + 588 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4641205 + ... + 4718795.

Almost surely, 2^363125880000 is an apocalyptic number.

363125880000 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 363125880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700346711064).

363125880000 is an abundant number, since it is smaller than the sum of its proper divisors (1037567542128).

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

363125880000 is a wasteful number, since it uses less digits than its factorization.

363125880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77642 (or 77614 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 363125880000 in words is "three hundred sixty-three billion, one hundred twenty-five million, eight hundred eighty thousand".