553268192400 has 2025 divisors, whose sum is σ = 2573692287257. Its totient is φ = 109966348800.

The previous prime is 553268192381. The next prime is 553268192441. The reversal of 553268192400 is 4291862355.

The square root of 553268192400 is 743820.

It is a perfect power (a square), and thus also a powerful number.

553268192400 is a `hidden beast` number, since 5 + 5 + 326 + 81 + 9 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199176549264 + 354091643136 = 446292^2 + 595056^2 .

It is a super-2 number, since 2×553268192400² (a number of 24 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 404 ways as a sum of consecutive naturals, for example, 24055138789 + ... + 24055138811.

Almost surely, 2^553268192400 is an apocalyptic number.

553268192400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

553268192400 is the 743820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553268192400

553268192400 is an abundant number, since it is smaller than the sum of its proper divisors (2020424094857).

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

553268192400 is a wasteful number, since it uses less digits than its factorization.

553268192400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 553268192400 in words is "five hundred fifty-three billion, two hundred sixty-eight million, one hundred ninety-two thousand, four hundred".