5437457194400 has 576 divisors, whose sum is σ = 18445489413120. Its totient is φ = 1511140147200.

The previous prime is 5437457194373. The next prime is 5437457194423. The reversal of 5437457194400 is 44917547345.

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, 19760159 + ... + 20033441.

It is an arithmetic number, because the mean of its divisors is an integer number (32023419120).

Almost surely, 2^{5437457194400} is an apocalyptic number.

5437457194400 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 5437457194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222744706560).

5437457194400 is an abundant number, since it is smaller than the sum of its proper divisors (13008032218720).

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

5437457194400 is a wasteful number, since it uses less digits than its factorization.

5437457194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273357 (or 273344 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 5437457194400 in words is "five trillion, four hundred thirty-seven billion, four hundred fifty-seven million, one hundred ninety-four thousand, four hundred".