363125952000 has 960 divisors, whose sum is σ = 1509876111744. Its totient is φ = 82162483200.

The previous prime is 363125951977. The next prime is 363125952001. The reversal of 363125952000 is 259521363.

363125952000 is a `hidden beast` number, since 3 + 6 + 3 + 125 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363125952001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 455615602 + ... + 455616398.

Almost surely, 2^363125952000 is an apocalyptic number.

363125952000 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 363125952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754938055872).

363125952000 is an abundant number, since it is smaller than the sum of its proper divisors (1146750159744).

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

363125952000 is a wasteful number, since it uses less digits than its factorization.

363125952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 363125952000 in words is "three hundred sixty-three billion, one hundred twenty-five million, nine hundred fifty-two thousand".