49005517158000 has 1280 divisors, whose sum is σ = 191867719680000. Its totient is φ = 11883959193600.

The previous prime is 49005517157951. The next prime is 49005517158083. The reversal of 49005517158000 is 85171550094.

49005517158000 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 55 + 17 + 1 + 580 + 0 + 0 = 666.

49005517158000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39874301386 + ... + 39874302614.

It is an arithmetic number, because the mean of its divisors is an integer number (149896656000).

Almost surely, 2^{49005517158000} is an apocalyptic number.

49005517158000 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 49005517158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95933859840000).

49005517158000 is an abundant number, since it is smaller than the sum of its proper divisors (142862202522000).

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

49005517158000 is a wasteful number, since it uses less digits than its factorization.

49005517158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 49005517158000 in words is "forty-nine trillion, five billion, five hundred seventeen million, one hundred fifty-eight thousand".