49852051200 has 972 divisors, whose sum is σ = 219738748320. Its totient is φ = 10714152960.

The previous prime is 49852051187. The next prime is 49852051213. The reversal of 49852051200 is 215025894.

49852051200 is a `hidden beast` number, since 4 + 9 + 8 + 520 + 5 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49852051187) and next prime (49852051213).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47980281 + ... + 47981319.

Almost surely, 2^49852051200 is an apocalyptic number.

49852051200 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 49852051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109869374160).

49852051200 is an abundant number, since it is smaller than the sum of its proper divisors (169886697120).

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

49852051200 is a wasteful number, since it uses less digits than its factorization.

49852051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 49852051200 in words is "forty-nine billion, eight hundred fifty-two million, fifty-one thousand, two hundred".