5349146880 has 576 divisors, whose sum is σ = 21663129600. Its totient is φ = 1092648960.

The previous prime is 5349146863. The next prime is 5349146897. The reversal of 5349146880 is 886419435.

It is an interprime number because it is at equal distance from previous prime (5349146863) and next prime (5349146897).

It is a super-2 number, since 2×5349146880² = 57226744687627468800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23358606 + ... + 23358834.

It is an arithmetic number, because the mean of its divisors is an integer number (37609600).

Almost surely, 2^5349146880 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 5349146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10831564800).

5349146880 is an abundant number, since it is smaller than the sum of its proper divisors (16313982720).

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

5349146880 is a wasteful number, since it uses less digits than its factorization.

5349146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 5349146880 is about 73137.8621508723. The cubic root of 5349146880 is about 1748.8860262814.

The spelling of 5349146880 in words is "five billion, three hundred forty-nine million, one hundred forty-six thousand, eight hundred eighty".