49739248800 has 720 divisors, whose sum is σ = 193965710400. Its totient is φ = 12366950400.

The previous prime is 49739248799. The next prime is 49739248891. The reversal of 49739248800 is 884293794.

49739248800 is a `hidden beast` number, since 4 + 9 + 73 + 92 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87414916 + ... + 87415484.

It is an arithmetic number, because the mean of its divisors is an integer number (269396820).

Almost surely, 2^49739248800 is an apocalyptic number.

49739248800 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 49739248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96982855200).

49739248800 is an abundant number, since it is smaller than the sum of its proper divisors (144226461600).

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

49739248800 is a wasteful number, since it uses less digits than its factorization.

49739248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 49739248800 in words is "forty-nine billion, seven hundred thirty-nine million, two hundred forty-eight thousand, eight hundred".