49882010472000 has 2688 divisors, whose sum is σ = 221590006530048. Its totient is φ = 10461394944000.

The previous prime is 49882010471987. The next prime is 49882010472053. The reversal of 49882010472000 is 27401028894.

49882010472000 is a `hidden beast` number, since 4 + 98 + 82 + 0 + 10 + 472 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45637703454 + ... + 45637704546.

Almost surely, 2^{49882010472000} is an apocalyptic number.

49882010472000 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 49882010472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110795003265024).

49882010472000 is an abundant number, since it is smaller than the sum of its proper divisors (171707996058048).

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

49882010472000 is a wasteful number, since it uses less digits than its factorization.

49882010472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 49882010472000 in words is "forty-nine trillion, eight hundred eighty-two billion, ten million, four hundred seventy-two thousand".