5852379456 has 336 divisors, whose sum is σ = 21098987520. Its totient is φ = 1506677760.

The previous prime is 5852379443. The next prime is 5852379461. The reversal of 5852379456 is 6549732585.

5852379456 is a `hidden beast` number, since 5 + 8 + 523 + 79 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5632185 + ... + 5633223.

Almost surely, 2^5852379456 is an apocalyptic number.

5852379456 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 5852379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549493760).

5852379456 is an abundant number, since it is smaller than the sum of its proper divisors (15246608064).

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

5852379456 is a wasteful number, since it uses less digits than its factorization.

5852379456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 5852379456 is about 76500.8461129679. The cubic root of 5852379456 is about 1802.0942143881.

The spelling of 5852379456 in words is "five billion, eight hundred fifty-two million, three hundred seventy-nine thousand, four hundred fifty-six".