97762258260 has 288 divisors, whose sum is σ = 315030643200. Its totient is φ = 25441827840.

The previous prime is 97762258229. The next prime is 97762258267. The reversal of 97762258260 is 6285226779.

97762258260 is a `hidden beast` number, since 9 + 7 + 7 + 622 + 5 + 8 + 2 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97762258197 and 97762258206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97762258267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34169230 + ... + 34172090.

It is an arithmetic number, because the mean of its divisors is an integer number (1093856400).

Almost surely, 2^97762258260 is an apocalyptic number.

97762258260 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 97762258260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157515321600).

97762258260 is an abundant number, since it is smaller than the sum of its proper divisors (217268384940).

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

97762258260 is a wasteful number, since it uses less digits than its factorization.

97762258260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

It can be divided in two parts, 9776 and 2258260, that added together give a square (2268036 = 1506²).

The spelling of 97762258260 in words is "ninety-seven billion, seven hundred sixty-two million, two hundred fifty-eight thousand, two hundred sixty".