48092800896 has 512 divisors, whose sum is σ = 172766131200. Its totient is φ = 12856983552.

The previous prime is 48092800883. The next prime is 48092800909. The reversal of 48092800896 is 69800829084.

48092800896 is a `hidden beast` number, since 480 + 9 + 2 + 80 + 0 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (48092800883) and next prime (48092800909).

It is a super-3 number, since 3×48092800896³ (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138595795 + ... + 138596141.

It is an arithmetic number, because the mean of its divisors is an integer number (337433850).

Almost surely, 2^48092800896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48092800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86383065600).

48092800896 is an abundant number, since it is smaller than the sum of its proper divisors (124673330304).

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

48092800896 is a wasteful number, since it uses less digits than its factorization.

48092800896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 48092800896 in words is "forty-eight billion, ninety-two million, eight hundred thousand, eight hundred ninety-six".