5102697600 has 1536 divisors, whose sum is σ = 25498368000. Its totient is φ = 962150400.

The previous prime is 5102697539. The next prime is 5102697601. The reversal of 5102697600 is 67962015.

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 (5102697601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86486371 + ... + 86486429.

It is an arithmetic number, because the mean of its divisors is an integer number (16600500).

Almost surely, 2^5102697600 is an apocalyptic number.

5102697600 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 5102697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184000).

5102697600 is an abundant number, since it is smaller than the sum of its proper divisors (20395670400).

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

5102697600 is a wasteful number, since it uses less digits than its factorization.

5102697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5102697600 is about 71433.1687663371. The cubic root of 5102697600 is about 1721.6040561579.

The spelling of 5102697600 in words is "five billion, one hundred two million, six hundred ninety-seven thousand, six hundred".