48513377088 has 896 divisors, whose sum is σ = 176969318400. Its totient is φ = 12850790400.

The previous prime is 48513377069. The next prime is 48513377153. The reversal of 48513377088 is 88077331584.

48513377088 is a `hidden beast` number, since 48 + 513 + 3 + 7 + 7 + 0 + 88 = 666.

48513377088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48513377088³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290499181 + ... + 290499347.

It is an arithmetic number, because the mean of its divisors is an integer number (197510400).

Almost surely, 2^48513377088 is an apocalyptic number.

48513377088 is a gapful number since it is divisible by the number (48) 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 48513377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88484659200).

48513377088 is an abundant number, since it is smaller than the sum of its proper divisors (128455941312).

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

48513377088 is a wasteful number, since it uses less digits than its factorization.

48513377088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 48513377088 in words is "forty-eight billion, five hundred thirteen million, three hundred seventy-seven thousand, eighty-eight".