48990772566 has 64 divisors (see below), whose sum is σ = 114699628800. Its totient is φ = 15457091328.

The previous prime is 48990772541. The next prime is 48990772583. The reversal of 48990772566 is 66527709984.

48990772566 is a `hidden beast` number, since 489 + 9 + 0 + 77 + 25 + 66 = 666.

It is a super-2 number, since 2×48990772566² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1172710 + ... + 1213766.

It is an arithmetic number, because the mean of its divisors is an integer number (1792181700).

Almost surely, 2^48990772566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48990772566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57349814400).

48990772566 is an abundant number, since it is smaller than the sum of its proper divisors (65708856234).

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

48990772566 is a wasteful number, since it uses less digits than its factorization.

48990772566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42250 (or 42244 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 48990772566 in words is "forty-eight billion, nine hundred ninety million, seven hundred seventy-two thousand, five hundred sixty-six".