5016686400 has 1176 divisors, whose sum is σ = 22307482944. Its totient is φ = 1094860800.

The previous prime is 5016686387. The next prime is 5016686401. The reversal of 5016686400 is 46866105.

5016686400 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 6 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016686401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 218116789 + ... + 218116811.

Almost surely, 2^5016686400 is an apocalyptic number.

5016686400 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 5016686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11153741472).

5016686400 is an abundant number, since it is smaller than the sum of its proper divisors (17290796544).

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

5016686400 is a wasteful number, since it uses less digits than its factorization.

5016686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5016686400 is about 70828.5705065406. The cubic root of 5016686400 is about 1711.8760573503.

The spelling of 5016686400 in words is "five billion, sixteen million, six hundred eighty-six thousand, four hundred".