45256927372800 has 1920 divisors, whose sum is σ = 186620083550208. Its totient is φ = 9498525696000.

The previous prime is 45256927372799. The next prime is 45256927372801. The reversal of 45256927372800 is 827372965254.

It is an interprime number because it is at equal distance from previous prime (45256927372799) and next prime (45256927372801).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45256927372801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34259596140 + ... + 34259597460.

Almost surely, 2^{45256927372800} is an apocalyptic number.

45256927372800 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 45256927372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93310041775104).

45256927372800 is an abundant number, since it is smaller than the sum of its proper divisors (141363156177408).

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

45256927372800 is a wasteful number, since it uses less digits than its factorization.

45256927372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 45256927372800 in words is "forty-five trillion, two hundred fifty-six billion, nine hundred twenty-seven million, three hundred seventy-two thousand, eight hundred".