97425750240 has 480 divisors, whose sum is σ = 423182612160. Its totient is φ = 20555513856.

The previous prime is 97425750223. The next prime is 97425750263. The reversal of 97425750240 is 4205752479.

97425750240 is a `hidden beast` number, since 9 + 74 + 2 + 575 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 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, 1138056 + ... + 1220664.

It is an arithmetic number, because the mean of its divisors is an integer number (881630442).

Almost surely, 2^97425750240 is an apocalyptic number.

97425750240 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 97425750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211591306080).

97425750240 is an abundant number, since it is smaller than the sum of its proper divisors (325756861920).

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

97425750240 is a wasteful number, since it uses less digits than its factorization.

97425750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82656 (or 82639 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 97425750240 in words is "ninety-seven billion, four hundred twenty-five million, seven hundred fifty thousand, two hundred forty".