49475605788000 has 5376 divisors, whose sum is σ = 233883504691200. Its totient is φ = 10026635673600.

The previous prime is 49475605787977. The next prime is 49475605788023. The reversal of 49475605788000 is 88750657494.

49475605788000 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 56 + 0 + 578 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49475605787977) and next prime (49475605788023).

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 895 ways as a sum of consecutive naturals, for example, 596091635959 + ... + 596091636041.

It is an arithmetic number, because the mean of its divisors is an integer number (43505116200).

Almost surely, 2^{49475605788000} is an apocalyptic number.

49475605788000 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 49475605788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116941752345600).

49475605788000 is an abundant number, since it is smaller than the sum of its proper divisors (184407898903200).

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

49475605788000 is a wasteful number, since it uses less digits than its factorization.

49475605788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 49475605788000 in words is "forty-nine trillion, four hundred seventy-five billion, six hundred five million, seven hundred eighty-eight thousand".