49008889589760 has 832 divisors, whose sum is σ = 178266271426560. Its totient is φ = 12769783971840.

The previous prime is 49008889589729. The next prime is 49008889589761. The reversal of 49008889589760 is 6798598880094.

49008889589760 is a `hidden beast` number, since 490 + 0 + 8 + 8 + 8 + 9 + 58 + 9 + 76 + 0 = 666.

It is a super-2 number, since 2×49008889589760² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49008889589760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49008889589761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4436392557 + ... + 4436403603.

Almost surely, 2^{49008889589760} is an apocalyptic number.

49008889589760 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 49008889589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89133135713280).

49008889589760 is an abundant number, since it is smaller than the sum of its proper divisors (129257381836800).

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

49008889589760 is a wasteful number, since it uses less digits than its factorization.

49008889589760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269 (or 11241 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 81.

The spelling of 49008889589760 in words is "forty-nine trillion, eight billion, eight hundred eighty-nine million, five hundred eighty-nine thousand, seven hundred sixty".