49529403360 has 288 divisors, whose sum is σ = 176718604608. Its totient is φ = 12608471040.

The previous prime is 49529403331. The next prime is 49529403361. The reversal of 49529403360 is 6330492594.

49529403360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49529403361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21228754 + ... + 21231086.

It is an arithmetic number, because the mean of its divisors is an integer number (613606266).

Almost surely, 2^49529403360 is an apocalyptic number.

49529403360 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 49529403360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88359302304).

49529403360 is an abundant number, since it is smaller than the sum of its proper divisors (127189201248).

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

49529403360 is a wasteful number, since it uses less digits than its factorization.

49529403360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 49529403360 in words is "forty-nine billion, five hundred twenty-nine million, four hundred three thousand, three hundred sixty".