5011756984 has 64 divisors (see below), whose sum is σ = 10374819840. Its totient is φ = 2255057280.

The previous prime is 5011756973. The next prime is 5011756987. The reversal of 5011756984 is 4896571105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5011756987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4610089 + ... + 4611175.

It is an arithmetic number, because the mean of its divisors is an integer number (162106560).

Almost surely, 2^5011756984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5011756984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187409920).

5011756984 is an abundant number, since it is smaller than the sum of its proper divisors (5363062856).

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

5011756984 is a wasteful number, since it uses less digits than its factorization.

5011756984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 5011756984 is about 70793.7637366456. The cubic root of 5011756984 is about 1711.3151748620.

It can be divided in two parts, 5011 and 756984, that added together give a triangular number (761995 = T₁₂₃₄).

The spelling of 5011756984 in words is "five billion, eleven million, seven hundred fifty-six thousand, nine hundred eighty-four".