97941285120 has 1152 divisors, whose sum is σ = 397282959360. Its totient is φ = 20065812480.

The previous prime is 97941285119. The next prime is 97941285151. The reversal of 97941285120 is 2158214979.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97941285120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1341661404 + ... + 1341661476.

It is an arithmetic number, because the mean of its divisors is an integer number (344863680).

Almost surely, 2^97941285120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97941285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198641479680).

97941285120 is an abundant number, since it is smaller than the sum of its proper divisors (299341674240).

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

97941285120 is a wasteful number, since it uses less digits than its factorization.

97941285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 97941285120 in words is "ninety-seven billion, nine hundred forty-one million, two hundred eighty-five thousand, one hundred twenty".