45565598520 has 512 divisors, whose sum is σ = 169029504000. Its totient is φ = 10848245760.

The previous prime is 45565598509. The next prime is 45565598557. The reversal of 45565598520 is 2589556554.

It is a happy number.

45565598520 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 559 + 85 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 213461²-1.

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 127 ways as a sum of consecutive naturals, for example, 55499710 + ... + 55500530.

It is an arithmetic number, because the mean of its divisors is an integer number (330135750).

Almost surely, 2^45565598520 is an apocalyptic number.

45565598520 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 45565598520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84514752000).

45565598520 is an abundant number, since it is smaller than the sum of its proper divisors (123463905480).

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

45565598520 is a wasteful number, since it uses less digits than its factorization.

45565598520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 54.

The spelling of 45565598520 in words is "forty-five billion, five hundred sixty-five million, five hundred ninety-eight thousand, five hundred twenty".