5253201002400 has 576 divisors, whose sum is σ = 18580065799680. Its totient is φ = 1289146060800.

The previous prime is 5253201002389. The next prime is 5253201002411. The reversal of 5253201002400 is 42001023525.

It is an interprime number because it is at equal distance from previous prime (5253201002389) and next prime (5253201002411).

It is a super-2 number, since 2×5253201002400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1966753065 + ... + 1966755735.

It is an arithmetic number, because the mean of its divisors is an integer number (32257058680).

Almost surely, 2^{5253201002400} is an apocalyptic number.

5253201002400 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 5253201002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290032899840).

5253201002400 is an abundant number, since it is smaller than the sum of its proper divisors (13326864797280).

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

5253201002400 is a wasteful number, since it uses less digits than its factorization.

5253201002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 5253201002400 its reverse (42001023525), we get a palindrome (5295202025925).

The spelling of 5253201002400 in words is "five trillion, two hundred fifty-three billion, two hundred one million, two thousand, four hundred".