48629886537960 has 1152 divisors, whose sum is σ = 205281471376800. Its totient is φ = 9884270592000.

The previous prime is 48629886537929. The next prime is 48629886537979. The reversal of 48629886537960 is 6973568892684.

It is a happy number.

48629886537960 is a `hidden beast` number, since 4 + 86 + 2 + 98 + 86 + 5 + 379 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 12720621293604 + 35909265244356 = 3566598^2 + 5992434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48629886537960.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3039169960 + ... + 3039185960.

Almost surely, 2^{48629886537960} is an apocalyptic number.

48629886537960 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 48629886537960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102640735688400).

48629886537960 is an abundant number, since it is smaller than the sum of its proper divisors (156651584838840).

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

48629886537960 is a wasteful number, since it uses less digits than its factorization.

48629886537960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16531 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 48629886537960 in words is "forty-eight trillion, six hundred twenty-nine billion, eight hundred eighty-six million, five hundred thirty-seven thousand, nine hundred sixty".