49576820562864 has 240 divisors, whose sum is σ = 159603557218560. Its totient is φ = 14072252014080.

The previous prime is 49576820562853. The next prime is 49576820562869. The reversal of 49576820562864 is 46826502867594.

49576820562864 is a `hidden beast` number, since 4 + 9 + 57 + 6 + 8 + 2 + 0 + 562 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×49576820562864² (a number of 28 digits) contains 22 as substring.

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 = 49576820562792 and 49576820562801.

It is not an unprimeable number, because it can be changed into a prime (49576820562869) 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, 1103180107 + ... + 1103225045.

It is an arithmetic number, because the mean of its divisors is an integer number (665014821744).

Almost surely, 2^{49576820562864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49576820562864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79801778609280).

49576820562864 is an abundant number, since it is smaller than the sum of its proper divisors (110026736655696).

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

49576820562864 is a wasteful number, since it uses less digits than its factorization.

49576820562864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52088 (or 52079 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 49576820562864 in words is "forty-nine trillion, five hundred seventy-six billion, eight hundred twenty million, five hundred sixty-two thousand, eight hundred sixty-four".