981529678080 has 1152 divisors, whose sum is σ = 4194484224000. Its totient is φ = 217031270400.

The previous prime is 981529678057. The next prime is 981529678097. The reversal of 981529678080 is 80876925189.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 981529677999 and 981529678017.

It is a congruent number.

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, 367475145 + ... + 367477815.

Almost surely, 2^981529678080 is an apocalyptic number.

981529678080 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 981529678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097242112000).

981529678080 is an abundant number, since it is smaller than the sum of its proper divisors (3212954545920).

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

981529678080 is a wasteful number, since it uses less digits than its factorization.

981529678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 981529678080 in words is "nine hundred eighty-one billion, five hundred twenty-nine million, six hundred seventy-eight thousand, eighty".