48078333263520 has 960 divisors, whose sum is σ = 198843556133376. Its totient is φ = 10710618439680.

The previous prime is 48078333263489. The next prime is 48078333263537. The reversal of 48078333263520 is 2536233387084.

48078333263520 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 83 + 3 + 32 + 6 + 3 + 520 = 666.

It is a super-3 number, since 3×48078333263520³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4080307549 + ... + 4080319331.

Almost surely, 2^{48078333263520} is an apocalyptic number.

48078333263520 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 48078333263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99421778066688).

48078333263520 is an abundant number, since it is smaller than the sum of its proper divisors (150765222869856).

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

48078333263520 is a wasteful number, since it uses less digits than its factorization.

48078333263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 48078333263520 in words is "forty-eight trillion, seventy-eight billion, three hundred thirty-three million, two hundred sixty-three thousand, five hundred twenty".