45200760000 has 560 divisors, whose sum is σ = 164958296448. Its totient is φ = 10919040000.

The previous prime is 45200759999. The next prime is 45200760047. The reversal of 45200760000 is 6700254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159719859 + ... + 159720141.

Almost surely, 2^45200760000 is an apocalyptic number.

45200760000 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 45200760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82479148224).

45200760000 is an abundant number, since it is smaller than the sum of its proper divisors (119757536448).

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

45200760000 is an equidigital number, since it uses as much as digits as its factorization.

45200760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 45200760000 in words is "forty-five billion, two hundred million, seven hundred sixty thousand".