97785182880 has 1152 divisors, whose sum is σ = 437476515840. Its totient is φ = 20035952640.

The previous prime is 97785182863. The next prime is 97785182917. The reversal of 97785182880 is 8828158779.

97785182880 is a `hidden beast` number, since 97 + 7 + 8 + 518 + 28 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 266444457 + ... + 266444823.

It is an arithmetic number, because the mean of its divisors is an integer number (379753920).

Almost surely, 2^97785182880 is an apocalyptic number.

97785182880 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 97785182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218738257920).

97785182880 is an abundant number, since it is smaller than the sum of its proper divisors (339691332960).

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

97785182880 is a wasteful number, since it uses less digits than its factorization.

97785182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 97785182880 in words is "ninety-seven billion, seven hundred eighty-five million, one hundred eighty-two thousand, eight hundred eighty".