9213860098800 has 540 divisors, whose sum is σ = 39152651729880. Its totient is φ = 1995181009920.

The previous prime is 9213860098799. The next prime is 9213860098847. The reversal of 9213860098800 is 88900683129.

It is a happy number.

9213860098800 is a `hidden beast` number, since 9 + 21 + 3 + 8 + 600 + 9 + 8 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×9213860098800³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1977054 + ... + 4726146.

Almost surely, 2^{9213860098800} is an apocalyptic number.

9213860098800 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 9213860098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576325864940).

9213860098800 is an abundant number, since it is smaller than the sum of its proper divisors (29938791631080).

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

9213860098800 is a wasteful number, since it uses less digits than its factorization.

9213860098800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749150 (or 2749129 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 9213860098800 in words is "nine trillion, two hundred thirteen billion, eight hundred sixty million, ninety-eight thousand, eight hundred".