48853672560 has 1680 divisors, whose sum is σ = 228422380032. Its totient is φ = 9484231680.

The previous prime is 48853672559. The next prime is 48853672597. The reversal of 48853672560 is 6527635884.

48853672560 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 3 + 6 + 72 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 = 48853672497 and 48853672506.

It is a congruent number.

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, 1136131899 + ... + 1136131941.

Almost surely, 2^48853672560 is an apocalyptic number.

48853672560 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 48853672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114211190016).

48853672560 is an abundant number, since it is smaller than the sum of its proper divisors (179568707472).

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

48853672560 is a wasteful number, since it uses less digits than its factorization.

48853672560 is an evil number, because the sum of its binary digits is even.

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

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

The spelling of 48853672560 in words is "forty-eight billion, eight hundred fifty-three million, six hundred seventy-two thousand, five hundred sixty".