5252306675400 has 576 divisors, whose sum is σ = 19508313352320. Its totient is φ = 1259637350400.

The previous prime is 5252306675393. The next prime is 5252306675527. The reversal of 5252306675400 is 45766032525.

5252306675400 is a `hidden beast` number, since 5 + 2 + 5 + 230 + 6 + 6 + 7 + 5 + 400 = 666.

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 143 ways as a sum of consecutive naturals, for example, 824146614 + ... + 824152986.

It is an arithmetic number, because the mean of its divisors is an integer number (33868599570).

Almost surely, 2^{5252306675400} is an apocalyptic number.

5252306675400 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 5252306675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754156676160).

5252306675400 is an abundant number, since it is smaller than the sum of its proper divisors (14256006676920).

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

5252306675400 is a wasteful number, since it uses less digits than its factorization.

5252306675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 5252306675400 in words is "five trillion, two hundred fifty-two billion, three hundred six million, six hundred seventy-five thousand, four hundred".