1800072610560 has 432 divisors, whose sum is σ = 7218060595200. Its totient is φ = 405648875520.

The previous prime is 1800072610529. The next prime is 1800072610579. The reversal of 1800072610560 is 650162700081.

1800072610560 is a `hidden beast` number, since 1 + 80 + 0 + 0 + 7 + 2 + 6 + 10 + 560 = 666.

It is a super-2 number, since 2×1800072610560² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5568241 + ... + 5882639.

It is an arithmetic number, because the mean of its divisors is an integer number (16708473600).

Almost surely, 2^{1800072610560} is an apocalyptic number.

1800072610560 is a gapful number since it is divisible by the number (10) 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 1800072610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609030297600).

1800072610560 is an abundant number, since it is smaller than the sum of its proper divisors (5417987984640).

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

1800072610560 is a wasteful number, since it uses less digits than its factorization.

1800072610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314504 (or 314487 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1800072610560 in words is "one trillion, eight hundred billion, seventy-two million, six hundred ten thousand, five hundred sixty".