981504168099840 has 4896 divisors, whose sum is σ = 4532086216569600. Its totient is φ = 203948918046720.

The previous prime is 981504168099827. The next prime is 981504168099869. The reversal of 981504168099840 is 48990861405189.

981504168099840 is a `hidden beast` number, since 9 + 8 + 1 + 5 + 0 + 416 + 80 + 9 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89227651645435 + ... + 89227651645445.

Almost surely, 2^{981504168099840} is an apocalyptic number.

981504168099840 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 981504168099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266043108284800).

981504168099840 is an abundant number, since it is smaller than the sum of its proper divisors (3550582048469760).

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

981504168099840 is an frugal number, since it uses more digits than its factorization.

981504168099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 981504168099840 in words is "nine hundred eighty-one trillion, five hundred four billion, one hundred sixty-eight million, ninety-nine thousand, eight hundred forty".