97803032820480 has 1728 divisors, whose sum is σ = 387073550223360. Its totient is φ = 22626135834624.

The previous prime is 97803032820443. The next prime is 97803032820491. The reversal of 97803032820480 is 8402823030879.

97803032820480 is a `hidden beast` number, since 9 + 7 + 8 + 0 + 30 + 328 + 204 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68537513527 + ... + 68537514953.

It is an arithmetic number, because the mean of its divisors is an integer number (224000897120).

Almost surely, 2^{97803032820480} is an apocalyptic number.

97803032820480 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 97803032820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536775111680).

97803032820480 is an abundant number, since it is smaller than the sum of its proper divisors (289270517402880).

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

97803032820480 is a wasteful number, since it uses less digits than its factorization.

97803032820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 97803032820480 in words is "ninety-seven trillion, eight hundred three billion, thirty-two million, eight hundred twenty thousand, four hundred eighty".