96150928024800 has 3456 divisors, whose sum is σ = 423182239603200. Its totient is φ = 20968774041600.

The previous prime is 96150928024769. The next prime is 96150928024817. The reversal of 96150928024800 is 842082905169.

It is a happy number.

96150928024800 is a `hidden beast` number, since 9 + 6 + 150 + 9 + 2 + 8 + 0 + 2 + 480 + 0 = 666.

96150928024800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 79006513792 + ... + 79006515008.

It is an arithmetic number, because the mean of its divisors is an integer number (122448564700).

Almost surely, 2^{96150928024800} is an apocalyptic number.

96150928024800 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 96150928024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211591119801600).

96150928024800 is an abundant number, since it is smaller than the sum of its proper divisors (327031311578400).

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

96150928024800 is a wasteful number, since it uses less digits than its factorization.

96150928024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 96150928024800 in words is "ninety-six trillion, one hundred fifty billion, nine hundred twenty-eight million, twenty-four thousand, eight hundred".