4920185088 has 432 divisors, whose sum is σ = 18046852096. Its totient is φ = 1254113280.

The previous prime is 4920185069. The next prime is 4920185111. The reversal of 4920185088 is 8805810294.

It is a happy number.

4920185088 is a `hidden beast` number, since 492 + 0 + 1 + 85 + 0 + 88 = 666.

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, 6499206 + ... + 6499962.

Almost surely, 2^4920185088 is an apocalyptic number.

4920185088 is a gapful number since it is divisible by the number (48) 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 4920185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023426048).

4920185088 is an abundant number, since it is smaller than the sum of its proper divisors (13126667008).

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

4920185088 is a wasteful number, since it uses less digits than its factorization.

4920185088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 4920185088 is about 70144.0310218910. The cubic root of 4920185088 is about 1700.8283262050.

The spelling of 4920185088 in words is "four billion, nine hundred twenty million, one hundred eighty-five thousand, eighty-eight".