5145753600 has 432 divisors, whose sum is σ = 19869431400. Its totient is φ = 1265172480.

The previous prime is 5145753521. The next prime is 5145753629. The reversal of 5145753600 is 63575415.

5145753600 is a `hidden beast` number, since 5 + 1 + 45 + 7 + 5 + 3 + 600 = 666.

It is a super-2 number, since 2×5145753600² = 52957560223825920000, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5989971 + ... + 5990829.

Almost surely, 2^5145753600 is an apocalyptic number.

5145753600 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 5145753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934715700).

5145753600 is an abundant number, since it is smaller than the sum of its proper divisors (14723677800).

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

5145753600 is a wasteful number, since it uses less digits than its factorization.

5145753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5145753600 is about 71733.9083000501. The cubic root of 5145753600 is about 1726.4327353277.

The spelling of 5145753600 in words is "five billion, one hundred forty-five million, seven hundred fifty-three thousand, six hundred".