48279777210 has 192 divisors, whose sum is σ = 144814086144. Its totient is φ = 10931760000.

The previous prime is 48279777179. The next prime is 48279777251. The reversal of 48279777210 is 1277797284.

48279777210 is a `hidden beast` number, since 482 + 7 + 97 + 7 + 72 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33364707 + ... + 33366153.

It is an arithmetic number, because the mean of its divisors is an integer number (754240032).

Almost surely, 2^48279777210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48279777210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72407043072).

48279777210 is an abundant number, since it is smaller than the sum of its proper divisors (96534308934).

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

48279777210 is a wasteful number, since it uses less digits than its factorization.

48279777210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 48279777210 in words is "forty-eight billion, two hundred seventy-nine million, seven hundred seventy-seven thousand, two hundred ten".