48733387560 has 1344 divisors, whose sum is σ = 207379699200. Its totient is φ = 10189670400.

The previous prime is 48733387559. The next prime is 48733387601. The reversal of 48733387560 is 6578333784.

48733387560 is a `hidden beast` number, since 4 + 8 + 73 + 3 + 3 + 8 + 7 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 48733387497 and 48733387506.

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 335 ways as a sum of consecutive naturals, for example, 1572044745 + ... + 1572044775.

Almost surely, 2^48733387560 is an apocalyptic number.

48733387560 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 48733387560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103689849600).

48733387560 is an abundant number, since it is smaller than the sum of its proper divisors (158646311640).

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

48733387560 is a wasteful number, since it uses less digits than its factorization.

48733387560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 48733387560 in words is "forty-eight billion, seven hundred thirty-three million, three hundred eighty-seven thousand, five hundred sixty".