97469308540800 has 2688 divisors, whose sum is σ = 425884654018560. Its totient is φ = 21569494302720.

The previous prime is 97469308540759. The next prime is 97469308540817. The reversal of 97469308540800 is 804580396479.

97469308540800 is a `hidden beast` number, since 9 + 7 + 4 + 6 + 9 + 3 + 0 + 8 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×97469308540800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 89175945054 + ... + 89175946146.

Almost surely, 2^{97469308540800} is an apocalyptic number.

97469308540800 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 97469308540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212942327009280).

97469308540800 is an abundant number, since it is smaller than the sum of its proper divisors (328415345477760).

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

97469308540800 is a wasteful number, since it uses less digits than its factorization.

97469308540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 97469308540800 in words is "ninety-seven trillion, four hundred sixty-nine billion, three hundred eight million, five hundred forty thousand, eight hundred".