49807660855680 has 5376 divisors, whose sum is σ = 236910568366080. Its totient is φ = 9782083584000.

The previous prime is 49807660855679. The next prime is 49807660855691. The reversal of 49807660855680 is 8655806670894.

It is a happy number.

49807660855680 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 7 + 6 + 60 + 8 + 556 + 8 + 0 = 666.

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 = 49807660855599 and 49807660855608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 701516350045 + ... + 701516350115.

It is an arithmetic number, because the mean of its divisors is an integer number (44068186080).

Almost surely, 2^{49807660855680} is an apocalyptic number.

49807660855680 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 49807660855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118455284183040).

49807660855680 is an abundant number, since it is smaller than the sum of its proper divisors (187102907510400).

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

49807660855680 is a wasteful number, since it uses less digits than its factorization.

49807660855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 49807660855680 in words is "forty-nine trillion, eight hundred seven billion, six hundred sixty million, eight hundred fifty-five thousand, six hundred eighty".