5457261600 has 720 divisors, whose sum is σ = 23275885248. Its totient is φ = 1218447360.

The previous prime is 5457261587. The next prime is 5457261629. The reversal of 5457261600 is 61627545.

It is a happy number.

5457261600 is a `hidden beast` number, since 5 + 45 + 7 + 2 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24040687 + ... + 24040913.

Almost surely, 2^5457261600 is an apocalyptic number.

5457261600 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 5457261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11637942624).

5457261600 is an abundant number, since it is smaller than the sum of its proper divisors (17818623648).

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

5457261600 is a wasteful number, since it uses less digits than its factorization.

5457261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5457261600 is about 73873.2806906530. The cubic root of 5457261600 is about 1760.5901085948.

The spelling of 5457261600 in words is "five billion, four hundred fifty-seven million, two hundred sixty-one thousand, six hundred".