48991044706560 has 1152 divisors, whose sum is σ = 191766026188800. Its totient is φ = 11745096007680.

The previous prime is 48991044706559. The next prime is 48991044706573. The reversal of 48991044706560 is 6560744019984.

48991044706560 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 104 + 470 + 6 + 56 + 0 = 666.

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

It is a super-2 number, since 2×48991044706560² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14637298807 + ... + 14637302153.

It is an arithmetic number, because the mean of its divisors is an integer number (166463564400).

Almost surely, 2^{48991044706560} is an apocalyptic number.

48991044706560 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 48991044706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95883013094400).

48991044706560 is an abundant number, since it is smaller than the sum of its proper divisors (142774981482240).

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

48991044706560 is a wasteful number, since it uses less digits than its factorization.

48991044706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 48991044706560 in words is "forty-eight trillion, nine hundred ninety-one billion, forty-four million, seven hundred six thousand, five hundred sixty".