45756980087760 has 480 divisors, whose sum is σ = 156571563028608. Its totient is φ = 11973402685440.

The previous prime is 45756980087743. The next prime is 45756980087773. The reversal of 45756980087760 is 6778008965754.

45756980087760 is a `hidden beast` number, since 4 + 57 + 569 + 8 + 0 + 0 + 8 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10784108199 + ... + 10784112441.

Almost surely, 2^{45756980087760} is an apocalyptic number.

45756980087760 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 45756980087760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78285781514304).

45756980087760 is an abundant number, since it is smaller than the sum of its proper divisors (110814582940848).

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

45756980087760 is a wasteful number, since it uses less digits than its factorization.

45756980087760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 45756980087760 in words is "forty-five trillion, seven hundred fifty-six billion, nine hundred eighty million, eighty-seven thousand, seven hundred sixty".