49487862251520 has 1620 divisors, whose sum is σ = 219371866809732. Its totient is φ = 10282283827200.

The previous prime is 49487862251519. The next prime is 49487862251539. The reversal of 49487862251520 is 2515226878494.

49487862251520 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 7 + 86 + 2 + 25 + 1 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9823259787264 + 39664602464256 = 3134208^2 + 6297984^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4371327460 + ... + 4371338780.

Almost surely, 2^{49487862251520} is an apocalyptic number.

49487862251520 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 49487862251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109685933404866).

49487862251520 is an abundant number, since it is smaller than the sum of its proper divisors (169884004558212).

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

49487862251520 is a wasteful number, since it uses less digits than its factorization.

49487862251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11396 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 49487862251520 in words is "forty-nine trillion, four hundred eighty-seven billion, eight hundred sixty-two million, two hundred fifty-one thousand, five hundred twenty".