5052749346400 has 432 divisors, whose sum is σ = 14865489297792. Its totient is φ = 1670409216000.

The previous prime is 5052749346397. The next prime is 5052749346401. The reversal of 5052749346400 is 46439472505.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5052749346401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 341463802 + ... + 341478598.

It is an arithmetic number, because the mean of its divisors is an integer number (34410854856).

Almost surely, 2^{5052749346400} is an apocalyptic number.

5052749346400 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 5052749346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432744648896).

5052749346400 is an abundant number, since it is smaller than the sum of its proper divisors (9812739951392).

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

5052749346400 is a wasteful number, since it uses less digits than its factorization.

5052749346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15143 (or 15123 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 5052749346400 in words is "five trillion, fifty-two billion, seven hundred forty-nine million, three hundred forty-six thousand, four hundred".