48735029070 has 288 divisors, whose sum is σ = 167095262880. Its totient is φ = 9741150720.

The previous prime is 48735029069. The next prime is 48735029099. The reversal of 48735029070 is 7092053784.

48735029070 is a `hidden beast` number, since 4 + 8 + 7 + 350 + 290 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1066900 + ... + 1111640.

It is an arithmetic number, because the mean of its divisors is an integer number (580191885).

Almost surely, 2^48735029070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48735029070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83547631440).

48735029070 is an abundant number, since it is smaller than the sum of its proper divisors (118360233810).

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

48735029070 is a wasteful number, since it uses less digits than its factorization.

48735029070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44800 (or 44790 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 48735029070 in words is "forty-eight billion, seven hundred thirty-five million, twenty-nine thousand, seventy".