97429210560 has 1120 divisors, whose sum is σ = 398241828864. Its totient is φ = 22394880000.

The previous prime is 97429210537. The next prime is 97429210573. The reversal of 97429210560 is 6501292479.

97429210560 is a `hidden beast` number, since 9 + 7 + 429 + 210 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 645226485 + ... + 645226635.

Almost surely, 2^97429210560 is an apocalyptic number.

97429210560 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 97429210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199120914432).

97429210560 is an abundant number, since it is smaller than the sum of its proper divisors (300812618304).

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

97429210560 is a wasteful number, since it uses less digits than its factorization.

97429210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 97429210560 in words is "ninety-seven billion, four hundred twenty-nine million, two hundred ten thousand, five hundred sixty".