363985090560 has 3072 divisors, whose sum is σ = 1806968217600. Its totient is φ = 67268247552.

The previous prime is 363985090549. The next prime is 363985090613. The reversal of 363985090560 is 65090589363.

363985090560 is a `hidden beast` number, since 363 + 98 + 50 + 90 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×363985090560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 363985090497 and 363985090506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9837434862 + ... + 9837434898.

It is an arithmetic number, because the mean of its divisors is an integer number (588205800).

Almost surely, 2^363985090560 is an apocalyptic number.

363985090560 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 363985090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903484108800).

363985090560 is an abundant number, since it is smaller than the sum of its proper divisors (1442983127040).

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

363985090560 is a wasteful number, since it uses less digits than its factorization.

363985090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 363985090560 in words is "three hundred sixty-three billion, nine hundred eighty-five million, ninety thousand, five hundred sixty".