49124608591200 has 144 divisors (see below), whose sum is σ = 159938696299536. Its totient is φ = 13096774656000.

The previous prime is 49124608591181. The next prime is 49124608591243. The reversal of 49124608591200 is 219580642194.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7646244 + ... + 12518556.

It is an arithmetic number, because the mean of its divisors is an integer number (1110685390969).

Almost surely, 2^{49124608591200} is an apocalyptic number.

49124608591200 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 49124608591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79969348149768).

49124608591200 is an abundant number, since it is smaller than the sum of its proper divisors (110814087708336).

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

49124608591200 is a wasteful number, since it uses less digits than its factorization.

49124608591200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876537 (or 4876524 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 49124608591200 in words is "forty-nine trillion, one hundred twenty-four billion, six hundred eight million, five hundred ninety-one thousand, two hundred".