48260795310000 has 1800 divisors, whose sum is σ = 213399757530960. Its totient is φ = 10087773696000.

The previous prime is 48260795309953. The next prime is 48260795310019. The reversal of 48260795310000 is 1359706284.

48260795310000 is a `hidden beast` number, since 4 + 8 + 2 + 607 + 9 + 5 + 31 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×48260795310000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6248966139 + ... + 6248973861.

It is a 1-persistent number, because it is pandigital, but 2⋅48260795310000 = 96521590620000 is not.

Almost surely, 2^{48260795310000} is an apocalyptic number.

48260795310000 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 48260795310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106699878765480).

48260795310000 is an abundant number, since it is smaller than the sum of its proper divisors (165138962220960).

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

48260795310000 is a wasteful number, since it uses less digits than its factorization.

48260795310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 48260795310000 in words is "forty-eight trillion, two hundred sixty billion, seven hundred ninety-five million, three hundred ten thousand".