5190921600 has 384 divisors, whose sum is σ = 18213120000. Its totient is φ = 1295769600.

The previous prime is 5190921583. The next prime is 5190921607. The reversal of 5190921600 is 61290915.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190921607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27177505 + ... + 27177695.

It is an arithmetic number, because the mean of its divisors is an integer number (47430000).

Almost surely, 2^5190921600 is an apocalyptic number.

5190921600 is a gapful number since it is divisible by the number (50) 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 5190921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560000).

5190921600 is an abundant number, since it is smaller than the sum of its proper divisors (13022198400).

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

5190921600 is a wasteful number, since it uses less digits than its factorization.

5190921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 5190921600 is about 72048.0506328936. The cubic root of 5190921600 is about 1731.4694099099.

The spelling of 5190921600 in words is "five billion, one hundred ninety million, nine hundred twenty-one thousand, six hundred".