981948127860 has 576 divisors, whose sum is σ = 3820082757120. Its totient is φ = 204415488000.

The previous prime is 981948127819. The next prime is 981948127861. The reversal of 981948127860 is 68721849189.

981948127860 is a `hidden beast` number, since 9 + 81 + 9 + 481 + 2 + 78 + 6 + 0 = 666.

It is a super-3 number, since 3×981948127860³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981948127861) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 61745910 + ... + 61761810.

It is an arithmetic number, because the mean of its divisors is an integer number (6632088120).

Almost surely, 2^981948127860 is an apocalyptic number.

981948127860 is a gapful number since it is divisible by the number (90) 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 981948127860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910041378560).

981948127860 is an abundant number, since it is smaller than the sum of its proper divisors (2838134629260).

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

981948127860 is a wasteful number, since it uses less digits than its factorization.

981948127860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 981948127860 in words is "nine hundred eighty-one billion, nine hundred forty-eight million, one hundred twenty-seven thousand, eight hundred sixty".