48779577000 has 1344 divisors, whose sum is σ = 217704614400. Its totient is φ = 10007712000.

The previous prime is 48779576999. The next prime is 48779577013. The reversal of 48779577000 is 77597784.

48779577000 is a `hidden beast` number, since 487 + 7 + 95 + 7 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 617462961 + ... + 617463039.

It is an arithmetic number, because the mean of its divisors is an integer number (161982600).

Almost surely, 2^48779577000 is an apocalyptic number.

48779577000 is a gapful number since it is divisible by the number (40) 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 48779577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108852307200).

48779577000 is an abundant number, since it is smaller than the sum of its proper divisors (168925037400).

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

48779577000 is a wasteful number, since it uses less digits than its factorization.

48779577000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 48779577000 in words is "forty-eight billion, seven hundred seventy-nine million, five hundred seventy-seven thousand".