5254778880 has 832 divisors, whose sum is σ = 21797233920. Its totient is φ = 1189085184.

The previous prime is 5254778873. The next prime is 5254778959. The reversal of 5254778880 is 888774525.

5254778880 is a `hidden beast` number, since 525 + 47 + 78 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×5254778880² = 55225402155388108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122204139 + ... + 122204181.

Almost surely, 2^5254778880 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 5254778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898616960).

5254778880 is an abundant number, since it is smaller than the sum of its proper divisors (16542455040).

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

5254778880 is a wasteful number, since it uses less digits than its factorization.

5254778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The square root of 5254778880 is about 72489.8536348364. The cubic root of 5254778880 is about 1738.5405121727.

The spelling of 5254778880 in words is "five billion, two hundred fifty-four million, seven hundred seventy-eight thousand, eight hundred eighty".