5280745298400 has 2160 divisors, whose sum is σ = 23165631054720. Its totient is φ = 1160112844800.

The previous prime is 5280745298329. The next prime is 5280745298401. The reversal of 5280745298400 is 48925470825.

5280745298400 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 74 + 529 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5280745298401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7107328429 + ... + 7107329171.

It is an arithmetic number, because the mean of its divisors is an integer number (10724829192).

Almost surely, 2^{5280745298400} is an apocalyptic number.

5280745298400 is a gapful number since it is divisible by the number (50) 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 5280745298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582815527360).

5280745298400 is an abundant number, since it is smaller than the sum of its proper divisors (17884885756320).

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

5280745298400 is a wasteful number, since it uses less digits than its factorization.

5280745298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5280745298400 in words is "five trillion, two hundred eighty billion, seven hundred forty-five million, two hundred ninety-eight thousand, four hundred".