48742594560 has 1152 divisors, whose sum is σ = 200774246400. Its totient is φ = 11191910400.

The previous prime is 48742594559. The next prime is 48742594583. The reversal of 48742594560 is 6549524784.

48742594560 is a `hidden beast` number, since 4 + 8 + 7 + 42 + 594 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 48742594497 and 48742594506.

It is a congruent number.

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, 1037076457 + ... + 1037076503.

It is an arithmetic number, because the mean of its divisors is an integer number (174283200).

Almost surely, 2^48742594560 is an apocalyptic number.

48742594560 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 48742594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100387123200).

48742594560 is an abundant number, since it is smaller than the sum of its proper divisors (152031651840).

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

48742594560 is a wasteful number, since it uses less digits than its factorization.

48742594560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 48742594560 in words is "forty-eight billion, seven hundred forty-two million, five hundred ninety-four thousand, five hundred sixty".