48611170198080 has 1680 divisors, whose sum is σ = 203464701863280. Its totient is φ = 10984025751552.

The previous prime is 48611170198067. The next prime is 48611170198099. The reversal of 48611170198080 is 8089107111684.

48611170198080 is a `hidden beast` number, since 4 + 8 + 611 + 1 + 7 + 0 + 19 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 572298302016 + 48038871896064 = 756504^2 + 6931008^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×48611170198080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 58638323106 + ... + 58638323934.

Almost surely, 2^{48611170198080} is an apocalyptic number.

48611170198080 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 48611170198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101732350931640).

48611170198080 is an abundant number, since it is smaller than the sum of its proper divisors (154853531665200).

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

48611170198080 is a wasteful number, since it uses less digits than its factorization.

48611170198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 48611170198080 in words is "forty-eight trillion, six hundred eleven billion, one hundred seventy million, one hundred ninety-eight thousand, eighty".