49787075520 has 672 divisors, whose sum is σ = 217401891840. Its totient is φ = 10502369280.

The previous prime is 49787075501. The next prime is 49787075521. The reversal of 49787075520 is 2557078794.

It is a happy number.

49787075520 is a `hidden beast` number, since 4 + 9 + 7 + 87 + 0 + 7 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49787075521) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10218685 + ... + 10223555.

It is an arithmetic number, because the mean of its divisors is an integer number (323514720).

Almost surely, 2^49787075520 is an apocalyptic number.

49787075520 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 49787075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108700945920).

49787075520 is an abundant number, since it is smaller than the sum of its proper divisors (167614816320).

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

49787075520 is a wasteful number, since it uses less digits than its factorization.

49787075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 49787075520 in words is "forty-nine billion, seven hundred eighty-seven million, seventy-five thousand, five hundred twenty".