49129891200 has 1536 divisors, whose sum is σ = 214186291200. Its totient is φ = 10882252800.

The previous prime is 49129891163. The next prime is 49129891243. The reversal of 49129891200 is 219892194.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 591926359 + ... + 591926441.

It is an arithmetic number, because the mean of its divisors is an integer number (139444200).

Almost surely, 2^49129891200 is an apocalyptic number.

49129891200 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 49129891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107093145600).

49129891200 is an abundant number, since it is smaller than the sum of its proper divisors (165056400000).

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

49129891200 is a wasteful number, since it uses less digits than its factorization.

49129891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 49129891200 in words is "forty-nine billion, one hundred twenty-nine million, eight hundred ninety-one thousand, two hundred".