48513769920 has 672 divisors, whose sum is σ = 214783635456. Its totient is φ = 9754214400.

The previous prime is 48513769919. The next prime is 48513769939. The reversal of 48513769920 is 2996731584.

48513769920 is a `hidden beast` number, since 48 + 513 + 7 + 69 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 6871032 + ... + 6878088.

It is a 1-persistent number, because it is pandigital, but 2⋅48513769920 = 97027539840 is not.

Almost surely, 2^48513769920 is an apocalyptic number.

48513769920 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 48513769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107391817728).

48513769920 is an abundant number, since it is smaller than the sum of its proper divisors (166269865536).

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

48513769920 is a wasteful number, since it uses less digits than its factorization.

48513769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 48513769920 in words is "forty-eight billion, five hundred thirteen million, seven hundred sixty-nine thousand, nine hundred twenty".