96540924222000 has 1920 divisors, whose sum is σ = 372154740572160. Its totient is φ = 24152878080000.

The previous prime is 96540924221947. The next prime is 96540924222011. The reversal of 96540924222000 is 22242904569.

96540924222000 is a `hidden beast` number, since 96 + 54 + 0 + 92 + 422 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67088897281 + ... + 67088898719.

It is an arithmetic number, because the mean of its divisors is an integer number (193830594048).

Almost surely, 2^{96540924222000} is an apocalyptic number.

96540924222000 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 96540924222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186077370286080).

96540924222000 is an abundant number, since it is smaller than the sum of its proper divisors (275613816350160).

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

96540924222000 is a wasteful number, since it uses less digits than its factorization.

96540924222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 96540924222000 in words is "ninety-six trillion, five hundred forty billion, nine hundred twenty-four million, two hundred twenty-two thousand".