5076949248000 has 1152 divisors, whose sum is σ = 20990991490560. Its totient is φ = 1156173004800.

The previous prime is 5076949247971. The next prime is 5076949248011. The reversal of 5076949248000 is 8429496705.

5076949248000 is a `hidden beast` number, since 5 + 0 + 76 + 9 + 4 + 92 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6983423637 + ... + 6983424363.

It is an arithmetic number, because the mean of its divisors is an integer number (18221346780).

Almost surely, 2^{5076949248000} is an apocalyptic number.

5076949248000 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 5076949248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495495745280).

5076949248000 is an abundant number, since it is smaller than the sum of its proper divisors (15914042242560).

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

5076949248000 is a wasteful number, since it uses less digits than its factorization.

5076949248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5076949248000 in words is "five trillion, seventy-six billion, nine hundred forty-nine million, two hundred forty-eight thousand".