96538092000 has 768 divisors, whose sum is σ = 377274433536. Its totient is φ = 21116160000.

The previous prime is 96538091999. The next prime is 96538092019. The reversal of 96538092000 is 29083569.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 341123859 + ... + 341124141.

It is an arithmetic number, because the mean of its divisors is an integer number (491242752).

Almost surely, 2^96538092000 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 96538092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188637216768).

96538092000 is an abundant number, since it is smaller than the sum of its proper divisors (280736341536).

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

96538092000 is a wasteful number, since it uses less digits than its factorization.

96538092000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 96538092000 in words is "ninety-six billion, five hundred thirty-eight million, ninety-two thousand".