5245581902400 has 2352 divisors, whose sum is σ = 23071996186624. Its totient is φ = 1148454236160.

The previous prime is 5245581902387. The next prime is 5245581902453. The reversal of 5245581902400 is 42091855425.

5245581902400 is a `hidden beast` number, since 5 + 2 + 4 + 5 + 58 + 190 + 2 + 400 = 666.

It is a super-2 number, since 2×5245581902400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 23522788689 + ... + 23522788911.

Almost surely, 2^{5245581902400} is an apocalyptic number.

5245581902400 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 5245581902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535998093312).

5245581902400 is an abundant number, since it is smaller than the sum of its proper divisors (17826414284224).

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

5245581902400 is a wasteful number, since it uses less digits than its factorization.

5245581902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5245581902400 in words is "five trillion, two hundred forty-five billion, five hundred eighty-one million, nine hundred two thousand, four hundred".