102321699828480 has 2160 divisors, whose sum is σ = 423294859798272. Its totient is φ = 23536952524800.

The previous prime is 102321699828461. The next prime is 102321699828487. The reversal of 102321699828480 is 84828996123201.

102321699828480 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 1 + 69 + 98 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×102321699828480² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102321699828487) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37798927287 + ... + 37798929993.

Almost surely, 2^{102321699828480} is an apocalyptic number.

102321699828480 is a gapful number since it is divisible by the number (10) 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 102321699828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211647429899136).

102321699828480 is an abundant number, since it is smaller than the sum of its proper divisors (320973159969792).

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

102321699828480 is a wasteful number, since it uses less digits than its factorization.

102321699828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 102321699828480 in words is "one hundred two trillion, three hundred twenty-one billion, six hundred ninety-nine million, eight hundred twenty-eight thousand, four hundred eighty".