49788794880 has 1152 divisors, whose sum is σ = 208633501440. Its totient is φ = 11253841920.

The previous prime is 49788794879. The next prime is 49788794911. The reversal of 49788794880 is 8849788794.

49788794880 is a `hidden beast` number, since 4 + 9 + 78 + 8 + 79 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49788794799 and 49788794808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465315787 + ... + 465315893.

It is an arithmetic number, because the mean of its divisors is an integer number (181105470).

Almost surely, 2^49788794880 is an apocalyptic number.

49788794880 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 49788794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104316750720).

49788794880 is an abundant number, since it is smaller than the sum of its proper divisors (158844706560).

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

49788794880 is a wasteful number, since it uses less digits than its factorization.

49788794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 49788794880 in words is "forty-nine billion, seven hundred eighty-eight million, seven hundred ninety-four thousand, eight hundred eighty".