365372061120 has 1792 divisors, whose sum is σ = 1567442534400. Its totient is φ = 79128576000.

The previous prime is 365372061113. The next prime is 365372061137. The reversal of 365372061120 is 21160273563.

365372061120 is a `hidden beast` number, since 3 + 6 + 5 + 37 + 2 + 0 + 611 + 2 + 0 = 666.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3414692107 + ... + 3414692213.

Almost surely, 2^365372061120 is an apocalyptic number.

365372061120 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 365372061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783721267200).

365372061120 is an abundant number, since it is smaller than the sum of its proper divisors (1202070473280).

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

365372061120 is a wasteful number, since it uses less digits than its factorization.

365372061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 365372061120 in words is "three hundred sixty-five billion, three hundred seventy-two million, sixty-one thousand, one hundred twenty".