48281735015360 has 448 divisors, whose sum is σ = 144181173436416. Its totient is φ = 14960675635200.

The previous prime is 48281735015333. The next prime is 48281735015377. The reversal of 48281735015360 is 6351053718284.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×48281735015360² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13728100322 + ... + 13728103838.

Almost surely, 2^{48281735015360} is an apocalyptic number.

48281735015360 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 48281735015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72090586718208).

48281735015360 is an abundant number, since it is smaller than the sum of its proper divisors (95899438421056).

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

48281735015360 is a wasteful number, since it uses less digits than its factorization.

48281735015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 48281735015360 in words is "forty-eight trillion, two hundred eighty-one billion, seven hundred thirty-five million, fifteen thousand, three hundred sixty".