48137660519256 has 1536 divisors, whose sum is σ = 184718345011200. Its totient is φ = 11362684354560.

The previous prime is 48137660519231. The next prime is 48137660519257. The reversal of 48137660519256 is 65291506673184.

It is a happy number.

48137660519256 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 7 + 6 + 60 + 519 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 48137660519193 and 48137660519202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48137660519257) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9738549121 + ... + 9738554063.

It is an arithmetic number, because the mean of its divisors is an integer number (120259339200).

It is a 1-persistent number, because it is pandigital, but 2⋅48137660519256 = 96275321038512 is not.

Almost surely, 2^{48137660519256} 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 48137660519256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92359172505600).

48137660519256 is an abundant number, since it is smaller than the sum of its proper divisors (136580684491944).

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

48137660519256 is a wasteful number, since it uses less digits than its factorization.

48137660519256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 48137660519256 in words is "forty-eight trillion, one hundred thirty-seven billion, six hundred sixty million, five hundred nineteen thousand, two hundred fifty-six".