5151386880 has 216 divisors, whose sum is σ = 17907402240. Its totient is φ = 1367224320.

The previous prime is 5151386861. The next prime is 5151386897. The reversal of 5151386880 is 886831515.

5151386880 is a `hidden beast` number, since 51 + 513 + 8 + 6 + 8 + 80 = 666.

It is a super-2 number, since 2×5151386880² = 53073573574872268800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2752345 + ... + 2754215.

It is an arithmetic number, because the mean of its divisors is an integer number (82904640).

Almost surely, 2^5151386880 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 5151386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8953701120).

5151386880 is an abundant number, since it is smaller than the sum of its proper divisors (12756015360).

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

5151386880 is a wasteful number, since it uses less digits than its factorization.

5151386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 5151386880 is about 71773.1626724084. The cubic root of 5151386880 is about 1727.0625058753.

The spelling of 5151386880 in words is "five billion, one hundred fifty-one million, three hundred eighty-six thousand, eight hundred eighty".