980856800640 has 192 divisors, whose sum is σ = 3387645387360. Its totient is φ = 261513609216.

The previous prime is 980856800633. The next prime is 980856800659. The reversal of 980856800640 is 46008658089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40175317 + ... + 40199723.

Almost surely, 2^980856800640 is an apocalyptic number.

980856800640 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 980856800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693822693680).

980856800640 is an abundant number, since it is smaller than the sum of its proper divisors (2406788586720).

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

980856800640 is a wasteful number, since it uses less digits than its factorization.

980856800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31409 (or 31394 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 980856800640 in words is "nine hundred eighty billion, eight hundred fifty-six million, eight hundred thousand, six hundred forty".