48992587560 has 1280 divisors, whose sum is σ = 210760704000. Its totient is φ = 9958256640.

The previous prime is 48992587531. The next prime is 48992587561. The reversal of 48992587560 is 6578529984.

48992587560 is a `hidden beast` number, since 48 + 9 + 9 + 2 + 587 + 5 + 6 + 0 = 666.

48992587560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48992587561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 830382811 + ... + 830382869.

It is an arithmetic number, because the mean of its divisors is an integer number (164656800).

Almost surely, 2^48992587560 is an apocalyptic number.

48992587560 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 48992587560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352000).

48992587560 is an abundant number, since it is smaller than the sum of its proper divisors (161768116440).

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

48992587560 is a wasteful number, since it uses less digits than its factorization.

48992587560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 48992587560 in words is "forty-eight billion, nine hundred ninety-two million, five hundred eighty-seven thousand, five hundred sixty".