49385278800 has 2160 divisors, whose sum is σ = 234480617280. Its totient is φ = 9853747200.

The previous prime is 49385278751. The next prime is 49385278823. The reversal of 49385278800 is 887258394.

It is a happy number.

49385278800 is a `hidden beast` number, since 4 + 9 + 38 + 527 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2599225191 + ... + 2599225209.

Almost surely, 2^49385278800 is an apocalyptic number.

49385278800 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 49385278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117240308640).

49385278800 is an abundant number, since it is smaller than the sum of its proper divisors (185095338480).

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

49385278800 is a wasteful number, since it uses less digits than its factorization.

49385278800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 49385278800 in words is "forty-nine billion, three hundred eighty-five million, two hundred seventy-eight thousand, eight hundred".