97605656628480 has 3456 divisors, whose sum is σ = 491301977886720. Its totient is φ = 17209035325440.

The previous prime is 97605656628449. The next prime is 97605656628503. The reversal of 97605656628480 is 8482665650679.

97605656628480 is a `hidden beast` number, since 9 + 7 + 6 + 0 + 5 + 65 + 66 + 28 + 480 = 666.

It is a super-2 number, since 2×97605656628480² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 97605656628399 and 97605656628408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8429535331 + ... + 8429546909.

It is an arithmetic number, because the mean of its divisors is an integer number (142159137120).

Almost surely, 2^{97605656628480} is an apocalyptic number.

97605656628480 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 97605656628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245650988943360).

97605656628480 is an abundant number, since it is smaller than the sum of its proper divisors (393696321258240).

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

97605656628480 is a wasteful number, since it uses less digits than its factorization.

97605656628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11697 (or 11680 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 97605656628480 in words is "ninety-seven trillion, six hundred five billion, six hundred fifty-six million, six hundred twenty-eight thousand, four hundred eighty".