5076192000 has 864 divisors, whose sum is σ = 20356277760. Its totient is φ = 1115136000.

The previous prime is 5076191969. The next prime is 5076192049. The reversal of 5076192000 is 2916705.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220703989 + ... + 220704011.

Almost surely, 2^5076192000 is an apocalyptic number.

5076192000 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 5076192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178138880).

5076192000 is an abundant number, since it is smaller than the sum of its proper divisors (15280085760).

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

5076192000 is a wasteful number, since it uses less digits than its factorization.

5076192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5076192000 is about 71247.3999525597. The cubic root of 5076192000 is about 1718.6179631903.

The spelling of 5076192000 in words is "five billion, seventy-six million, one hundred ninety-two thousand".