97758456120 has 320 divisors, whose sum is σ = 354560976000. Its totient is φ = 24015439872.

The previous prime is 97758456079. The next prime is 97758456127. The reversal of 97758456120 is 2165485779.

97758456120 is a `hidden beast` number, since 9 + 7 + 7 + 58 + 4 + 561 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97758456127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23964241 + ... + 23968319.

It is an arithmetic number, because the mean of its divisors is an integer number (1108003050).

Almost surely, 2^97758456120 is an apocalyptic number.

97758456120 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 97758456120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177280488000).

97758456120 is an abundant number, since it is smaller than the sum of its proper divisors (256802519880).

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

97758456120 is a wasteful number, since it uses less digits than its factorization.

97758456120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

It can be divided in two parts, 97758 and 456120, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 97758456120 in words is "ninety-seven billion, seven hundred fifty-eight million, four hundred fifty-six thousand, one hundred twenty".