5457507200 has 96 divisors (see below), whose sum is σ = 13517107320. Its totient is φ = 2177280000.

The previous prime is 5457507197. The next prime is 5457507233. The reversal of 5457507200 is 27057545.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345175 + ... + 1349225.

Almost surely, 2^5457507200 is an apocalyptic number.

5457507200 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 5457507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758553660).

5457507200 is an abundant number, since it is smaller than the sum of its proper divisors (8059600120).

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

5457507200 is a wasteful number, since it uses less digits than its factorization.

5457507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 35.

The square root of 5457507200 is about 73874.9429779814. The cubic root of 5457507200 is about 1760.6165195481.

The spelling of 5457507200 in words is "five billion, four hundred fifty-seven million, five hundred seven thousand, two hundred".