97785560547360 has 1440 divisors, whose sum is σ = 410328328531968. Its totient is φ = 21861389168640.

The previous prime is 97785560547343. The next prime is 97785560547383. The reversal of 97785560547360 is 6374506558779.

It is a happy number.

97785560547360 is a `hidden beast` number, since 9 + 7 + 7 + 8 + 5 + 5 + 605 + 4 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×97785560547360² (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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5726147142 + ... + 5726164218.

Almost surely, 2^{97785560547360} is an apocalyptic number.

97785560547360 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 97785560547360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205164164265984).

97785560547360 is an abundant number, since it is smaller than the sum of its proper divisors (312542767984608).

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

97785560547360 is a wasteful number, since it uses less digits than its factorization.

97785560547360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17316 (or 17292 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 72.

The spelling of 97785560547360 in words is "ninety-seven trillion, seven hundred eighty-five billion, five hundred sixty million, five hundred forty-seven thousand, three hundred sixty".