96270194442240 has 3888 divisors, whose sum is σ = 441924993710928. Its totient is φ = 20033707180032.

The previous prime is 96270194442217. The next prime is 96270194442263. The reversal of 96270194442240 is 4224449107269.

96270194442240 is a `hidden beast` number, since 9 + 6 + 2 + 7 + 0 + 194 + 442 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96270194442217) and next prime (96270194442263).

It is a tau number, because it is divible by the number of its divisors (3888).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1318769786844 + ... + 1318769786916.

It is an arithmetic number, because the mean of its divisors is an integer number (113663835831).

Almost surely, 2^{96270194442240} is an apocalyptic number.

96270194442240 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 96270194442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220962496855464).

96270194442240 is an abundant number, since it is smaller than the sum of its proper divisors (345654799268688).

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

96270194442240 is an frugal number, since it uses more digits than its factorization.

96270194442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 96270194442240 in words is "ninety-six trillion, two hundred seventy billion, one hundred ninety-four million, four hundred forty-two thousand, two hundred forty".