45595102909680 has 1920 divisors, whose sum is σ = 181251819141120. Its totient is φ = 10202350878720.

The previous prime is 45595102909679. The next prime is 45595102909813. The reversal of 45595102909680 is 8690920159554.

45595102909680 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 510 + 29 + 0 + 96 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21578372304 + ... + 21578374416.

It is an arithmetic number, because the mean of its divisors is an integer number (94401989136).

Almost surely, 2^{45595102909680} is an apocalyptic number.

45595102909680 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 45595102909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90625909570560).

45595102909680 is an abundant number, since it is smaller than the sum of its proper divisors (135656716231440).

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

45595102909680 is a wasteful number, since it uses less digits than its factorization.

45595102909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 45595102909680 in words is "forty-five trillion, five hundred ninety-five billion, one hundred two million, nine hundred nine thousand, six hundred eighty".