5114787840 has 576 divisors, whose sum is σ = 19624550400. Its totient is φ = 1226244096.

The previous prime is 5114787829. The next prime is 5114787857. The reversal of 5114787840 is 487874115.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5114787840² = 52322109296423731200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40273857 + ... + 40273983.

It is an arithmetic number, because the mean of its divisors is an integer number (34070400).

Almost surely, 2^5114787840 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 5114787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812275200).

5114787840 is an abundant number, since it is smaller than the sum of its proper divisors (14509762560).

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

5114787840 is a wasteful number, since it uses less digits than its factorization.

5114787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5114787840 is about 71517.7449308911. The cubic root of 5114787840 is about 1722.9626962478.

The spelling of 5114787840 in words is "five billion, one hundred fourteen million, seven hundred eighty-seven thousand, eight hundred forty".