45779520000 has 400 divisors, whose sum is σ = 156085411680. Its totient is φ = 11913216000.

The previous prime is 45779519993. The next prime is 45779520029. The reversal of 45779520000 is 2597754.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41279446 + ... + 41280554.

Almost surely, 2^45779520000 is an apocalyptic number.

45779520000 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 45779520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78042705840).

45779520000 is an abundant number, since it is smaller than the sum of its proper divisors (110305891680).

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

45779520000 is an equidigital number, since it uses as much as digits as its factorization.

45779520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 45779520000 in words is "forty-five billion, seven hundred seventy-nine million, five hundred twenty thousand".