49090572288 has 624 divisors, whose sum is σ = 159523460096. Its totient is φ = 15049359360.

The previous prime is 49090572287. The next prime is 49090572329. The reversal of 49090572288 is 88227509094.

49090572288 is a `hidden beast` number, since 49 + 0 + 9 + 0 + 572 + 28 + 8 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 49090572288 = 816³ + 3648³ = 1824³ + 3504³.

It is not an unprimeable number, because it can be changed into a prime (49090572287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141641195 + ... + 1141641237.

Almost surely, 2^49090572288 is an apocalyptic number.

49090572288 is a gapful number since it is divisible by the number (48) 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 49090572288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79761730048).

49090572288 is an abundant number, since it is smaller than the sum of its proper divisors (110432887808).

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

49090572288 is an equidigital number, since it uses as much as digits as its factorization.

49090572288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 49090572288 in words is "forty-nine billion, ninety million, five hundred seventy-two thousand, two hundred eighty-eight".