45987478560 has 144 divisors (see below), whose sum is σ = 157003951104. Its totient is φ = 12257726976.

The previous prime is 45987478553. The next prime is 45987478573. The reversal of 45987478560 is 6587478954.

45987478560 is a `hidden beast` number, since 459 + 8 + 7 + 47 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45987478560² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3857569 + ... + 3869471.

It is an arithmetic number, because the mean of its divisors is an integer number (1090305216).

Almost surely, 2^45987478560 is an apocalyptic number.

45987478560 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 45987478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78501975552).

45987478560 is an abundant number, since it is smaller than the sum of its proper divisors (111016472544).

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

45987478560 is a wasteful number, since it uses less digits than its factorization.

45987478560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14607 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 45987478560 in words is "forty-five billion, nine hundred eighty-seven million, four hundred seventy-eight thousand, five hundred sixty".