96272547840 has 512 divisors, whose sum is σ = 391322592000. Its totient is φ = 21998075904.

The previous prime is 96272547809. The next prime is 96272547853. The reversal of 96272547840 is 4874527269.

96272547840 is a `hidden beast` number, since 9 + 62 + 72 + 5 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30964206 + ... + 30967314.

Almost surely, 2^96272547840 is an apocalyptic number.

96272547840 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 96272547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195661296000).

96272547840 is an abundant number, since it is smaller than the sum of its proper divisors (295050044160).

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

96272547840 is an equidigital number, since it uses as much as digits as its factorization.

96272547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 96272547840 in words is "ninety-six billion, two hundred seventy-two million, five hundred forty-seven thousand, eight hundred forty".