5261341680 has 720 divisors, whose sum is σ = 22228577280. Its totient is φ = 1108380672.

The previous prime is 5261341667. The next prime is 5261341693. The reversal of 5261341680 is 861431625.

It is a happy number.

5261341680 is a `hidden beast` number, since 526 + 13 + 41 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5261341667) and next prime (5261341693).

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

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 143 ways as a sum of consecutive naturals, for example, 31504957 + ... + 31505123.

It is an arithmetic number, because the mean of its divisors is an integer number (30873024).

Almost surely, 2^5261341680 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 5261341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114288640).

5261341680 is an abundant number, since it is smaller than the sum of its proper divisors (16967235600).

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

5261341680 is a wasteful number, since it uses less digits than its factorization.

5261341680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

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

The square root of 5261341680 is about 72535.1065346981. The cubic root of 5261341680 is about 1739.2639772505.

The spelling of 5261341680 in words is "five billion, two hundred sixty-one million, three hundred forty-one thousand, six hundred eighty".