5052738506400 has 2304 divisors, whose sum is σ = 21431228313600. Its totient is φ = 1138396446720.

The previous prime is 5052738506377. The next prime is 5052738506449. The reversal of 5052738506400 is 46058372505.

5052738506400 is a `hidden beast` number, since 5 + 0 + 527 + 3 + 85 + 0 + 6 + 40 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 30255919117 + ... + 30255919283.

It is an arithmetic number, because the mean of its divisors is an integer number (9301748400).

Almost surely, 2^{5052738506400} is an apocalyptic number.

5052738506400 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 5052738506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10715614156800).

5052738506400 is an abundant number, since it is smaller than the sum of its proper divisors (16378489807200).

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

5052738506400 is a wasteful number, since it uses less digits than its factorization.

5052738506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 5052738506400 in words is "five trillion, fifty-two billion, seven hundred thirty-eight million, five hundred six thousand, four hundred".