48862259933760 has 2240 divisors, whose sum is σ = 218965735296000. Its totient is φ = 10277430460416.

The previous prime is 48862259933723. The next prime is 48862259933777. The reversal of 48862259933760 is 6733995226884.

It is a happy number.

48862259933760 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 22 + 599 + 3 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65763471949 + ... + 65763472691.

It is an arithmetic number, because the mean of its divisors is an integer number (97752560400).

Almost surely, 2^{48862259933760} is an apocalyptic number.

48862259933760 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 48862259933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109482867648000).

48862259933760 is an abundant number, since it is smaller than the sum of its proper divisors (170103475362240).

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

48862259933760 is a wasteful number, since it uses less digits than its factorization.

48862259933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 48862259933760 in words is "forty-eight trillion, eight hundred sixty-two billion, two hundred fifty-nine million, nine hundred thirty-three thousand, seven hundred sixty".