5492577600 has 588 divisors, whose sum is σ = 21532917564. Its totient is φ = 1373552640.

The previous prime is 5492577577. The next prime is 5492577631. The reversal of 5492577600 is 67752945.

It can be written as a sum of positive squares in 6 ways, for example, as 162409536 + 5330168064 = 12744^2 + 73008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19828662 + ... + 19828938.

Almost surely, 2^5492577600 is an apocalyptic number.

5492577600 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 5492577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10766458782).

5492577600 is an abundant number, since it is smaller than the sum of its proper divisors (16040339964).

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

5492577600 is a wasteful number, since it uses less digits than its factorization.

5492577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5492577600 is about 74111.9261657663. The cubic root of 5492577600 is about 1764.3797599707.

The spelling of 5492577600 in words is "five billion, four hundred ninety-two million, five hundred seventy-seven thousand, six hundred".