45927530880 has 512 divisors, whose sum is σ = 186993515520. Its totient is φ = 9309388800.

The previous prime is 45927530851. The next prime is 45927530881. The reversal of 45927530880 is 8803572954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45927530881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6057652 + ... + 6065228.

It is an arithmetic number, because the mean of its divisors is an integer number (365221710).

Almost surely, 2^45927530880 is an apocalyptic number.

45927530880 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 45927530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93496757760).

45927530880 is an abundant number, since it is smaller than the sum of its proper divisors (141065984640).

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

45927530880 is a wasteful number, since it uses less digits than its factorization.

45927530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 45927530880 in words is "forty-five billion, nine hundred twenty-seven million, five hundred thirty thousand, eight hundred eighty".