97429812480 has 2592 divisors, whose sum is σ = 494657549568. Its totient is φ = 17340825600.

The previous prime is 97429812461. The next prime is 97429812481. The reversal of 97429812480 is 8421892479.

97429812480 is a `hidden beast` number, since 9 + 74 + 2 + 98 + 1 + 2 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97429812481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1372250845 + ... + 1372250915.

It is an arithmetic number, because the mean of its divisors is an integer number (190840104).

Almost surely, 2^97429812480 is an apocalyptic number.

97429812480 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 97429812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247328774784).

97429812480 is an abundant number, since it is smaller than the sum of its proper divisors (397227737088).

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

97429812480 is a wasteful number, since it uses less digits than its factorization.

97429812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 97429 and 812480, that added together give a palindrome (909909).

The spelling of 97429812480 in words is "ninety-seven billion, four hundred twenty-nine million, eight hundred twelve thousand, four hundred eighty".