5162526720 has 576 divisors, whose sum is σ = 20033395200. Its totient is φ = 1220935680.

The previous prime is 5162526703. The next prime is 5162526739. The reversal of 5162526720 is 276252615.

5162526720 is a `hidden beast` number, since 5 + 1 + 62 + 526 + 72 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37140411 + ... + 37140549.

It is an arithmetic number, because the mean of its divisors is an integer number (34780200).

Almost surely, 2^5162526720 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 5162526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016697600).

5162526720 is an abundant number, since it is smaller than the sum of its proper divisors (14870868480).

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

5162526720 is a wasteful number, since it uses less digits than its factorization.

5162526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5162526720 is about 71850.7252572999. The cubic root of 5162526720 is about 1728.3065299836.

The spelling of 5162526720 in words is "five billion, one hundred sixty-two million, five hundred twenty-six thousand, seven hundred twenty".