48300177792 has 128 divisors (see below), whose sum is σ = 130907289600. Its totient is φ = 15775119360.

The previous prime is 48300177787. The next prime is 48300177811. The reversal of 48300177792 is 29777100384.

48300177792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4909134 + ... + 4918962.

It is an arithmetic number, because the mean of its divisors is an integer number (1022713200).

Almost surely, 2^48300177792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48300177792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65453644800).

48300177792 is an abundant number, since it is smaller than the sum of its proper divisors (82607111808).

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

48300177792 is a wasteful number, since it uses less digits than its factorization.

48300177792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 48300177792 in words is "forty-eight billion, three hundred million, one hundred seventy-seven thousand, seven hundred ninety-two".