45588026880 has 640 divisors, whose sum is σ = 187098024960. Its totient is φ = 10398597120.

The previous prime is 45588026873. The next prime is 45588026927. The reversal of 45588026880 is 8862088554.

It is a happy number.

45588026880 is a `hidden beast` number, since 4 + 558 + 8 + 0 + 2 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12923677 + ... + 12927203.

It is an arithmetic number, because the mean of its divisors is an integer number (292340664).

Almost surely, 2^45588026880 is an apocalyptic number.

45588026880 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 45588026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93549012480).

45588026880 is an abundant number, since it is smaller than the sum of its proper divisors (141509998080).

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

45588026880 is a wasteful number, since it uses less digits than its factorization.

45588026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 45588026880 in words is "forty-five billion, five hundred eighty-eight million, twenty-six thousand, eight hundred eighty".