5157705600 has 576 divisors, whose sum is σ = 19533571200. Its totient is φ = 1293926400.

The previous prime is 5157705583. The next prime is 5157705671. The reversal of 5157705600 is 65077515.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47318346 + ... + 47318454.

It is an arithmetic number, because the mean of its divisors is an integer number (33912450).

Almost surely, 2^5157705600 is an apocalyptic number.

5157705600 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 5157705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766785600).

5157705600 is an abundant number, since it is smaller than the sum of its proper divisors (14375865600).

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

5157705600 is a wasteful number, since it uses less digits than its factorization.

5157705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 5157705600 is about 71817.1678639585. The cubic root of 5157705600 is about 1727.7683588672.

The spelling of 5157705600 in words is "five billion, one hundred fifty-seven million, seven hundred five thousand, six hundred".