48861007576110 has 192 divisors, whose sum is σ = 136853567136000. Its totient is φ = 12055109036544.

The previous prime is 48861007576081. The next prime is 48861007576111. The reversal of 48861007576110 is 1167570016884.

48861007576110 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 10 + 0 + 7 + 5 + 7 + 611 + 0 = 666.

It is a super-2 number, since 2×48861007576110² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48861007576111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 585477666 + ... + 585561114.

It is an arithmetic number, because the mean of its divisors is an integer number (712778995500).

Almost surely, 2^{48861007576110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48861007576110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68426783568000).

48861007576110 is an abundant number, since it is smaller than the sum of its proper divisors (87992559559890).

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

48861007576110 is a wasteful number, since it uses less digits than its factorization.

48861007576110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91487 (or 91484 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 48861007576110 in words is "forty-eight trillion, eight hundred sixty-one billion, seven million, five hundred seventy-six thousand, one hundred ten".