48868301531520 has 2304 divisors, whose sum is σ = 197254558195200. Its totient is φ = 11404683214848.

The previous prime is 48868301531503. The next prime is 48868301531521. The reversal of 48868301531520 is 2513510386884.

48868301531520 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 83 + 0 + 1 + 5 + 31 + 520 = 666.

It is a super-2 number, since 2×48868301531520² (a number of 28 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (48868301531521) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 549082039636 + ... + 549082039724.

It is an arithmetic number, because the mean of its divisors is an integer number (85613957550).

Almost surely, 2^{48868301531520} is an apocalyptic number.

48868301531520 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 48868301531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98627279097600).

48868301531520 is an abundant number, since it is smaller than the sum of its proper divisors (148386256663680).

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

48868301531520 is a wasteful number, since it uses less digits than its factorization.

48868301531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 48868301531520 in words is "forty-eight trillion, eight hundred sixty-eight billion, three hundred one million, five hundred thirty-one thousand, five hundred twenty".