45593271360 has 896 divisors, whose sum is σ = 200237506560. Its totient is φ = 9509363712.

The previous prime is 45593271307. The next prime is 45593271389. The reversal of 45593271360 is 6317239554.

45593271360 is a `hidden beast` number, since 4 + 5 + 593 + 27 + 1 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80982439 + ... + 80983001.

It is an arithmetic number, because the mean of its divisors is an integer number (223479360).

Almost surely, 2^45593271360 is an apocalyptic number.

45593271360 is a gapful number since it is divisible by the number (40) 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 45593271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100118753280).

45593271360 is an abundant number, since it is smaller than the sum of its proper divisors (154644235200).

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

45593271360 is a wasteful number, since it uses less digits than its factorization.

45593271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 45593271360 in words is "forty-five billion, five hundred ninety-three million, two hundred seventy-one thousand, three hundred sixty".