5909119776 has 480 divisors, whose sum is σ = 21324885120. Its totient is φ = 1567641600.

The previous prime is 5909119753. The next prime is 5909119849. The reversal of 5909119776 is 6779119095.

It is a happy number.

It is a super-2 number, since 2×5909119776² = 69835393054228580352, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21028756 + ... + 21029036.

It is an arithmetic number, because the mean of its divisors is an integer number (44426844).

Almost surely, 2^5909119776 is an apocalyptic number.

5909119776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5909119776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10662442560).

5909119776 is an abundant number, since it is smaller than the sum of its proper divisors (15415765344).

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

5909119776 is a wasteful number, since it uses less digits than its factorization.

5909119776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 54.

The square root of 5909119776 is about 76870.7992413244. The cubic root of 5909119776 is about 1807.8994155284.

The spelling of 5909119776 in words is "five billion, nine hundred nine million, one hundred nineteen thousand, seven hundred seventy-six".