5292124416 has 288 divisors, whose sum is σ = 16777152000. Its totient is φ = 1640466432.

The previous prime is 5292124399. The next prime is 5292124427. The reversal of 5292124416 is 6144212925.

It is a happy number.

5292124416 is a `hidden beast` number, since 5 + 29 + 212 + 4 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7748011 + ... + 7748693.

It is an arithmetic number, because the mean of its divisors is an integer number (58254000).

Almost surely, 2^5292124416 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 5292124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388576000).

5292124416 is an abundant number, since it is smaller than the sum of its proper divisors (11485027584).

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

5292124416 is a wasteful number, since it uses less digits than its factorization.

5292124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

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

The square root of 5292124416 is about 72746.9890510941. The cubic root of 5292124416 is about 1742.6493765359.

The spelling of 5292124416 in words is "five billion, two hundred ninety-two million, one hundred twenty-four thousand, four hundred sixteen".