97269984000 has 864 divisors, whose sum is σ = 415053789696. Its totient is φ = 22220697600.

The previous prime is 97269983983. The next prime is 97269984011. The reversal of 97269984000 is 48996279.

97269984000 is a `hidden beast` number, since 97 + 2 + 69 + 98 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×97269984000² (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54431107 + ... + 54432893.

Almost surely, 2^97269984000 is an apocalyptic number.

97269984000 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 97269984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207526894848).

97269984000 is an abundant number, since it is smaller than the sum of its proper divisors (317783805696).

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

97269984000 is an equidigital number, since it uses as much as digits as its factorization.

97269984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 97269984000 in words is "ninety-seven billion, two hundred sixty-nine million, nine hundred eighty-four thousand".