5152157913600 has 720 divisors, whose sum is σ = 18794914950240. Its totient is φ = 1347438182400.

The previous prime is 5152157913593. The next prime is 5152157913613. The reversal of 5152157913600 is 63197512515.

5152157913600 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 1 + 579 + 13 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5152157913600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4696588252 + ... + 4696589348.

It is an arithmetic number, because the mean of its divisors is an integer number (26104048542).

Almost surely, 2^{5152157913600} is an apocalyptic number.

5152157913600 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 5152157913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397457475120).

5152157913600 is an abundant number, since it is smaller than the sum of its proper divisors (13642757036640).

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

5152157913600 is a wasteful number, since it uses less digits than its factorization.

5152157913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 5152157913600 in words is "five trillion, one hundred fifty-two billion, one hundred fifty-seven million, nine hundred thirteen thousand, six hundred".