102666764390400 has 3744 divisors, whose sum is σ = 464946008217600. Its totient is φ = 22403479633920.

The previous prime is 102666764390381. The next prime is 102666764390429. The reversal of 102666764390400 is 4093467666201.

It is a happy number.

It is a super-4 number, since 4×102666764390400⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 196303564539 + ... + 196303565061.

Almost surely, 2^{102666764390400} is an apocalyptic number.

102666764390400 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 102666764390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232473004108800).

102666764390400 is an abundant number, since it is smaller than the sum of its proper divisors (362279243827200).

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

102666764390400 is an frugal number, since it uses more digits than its factorization.

102666764390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 102666764390400 in words is "one hundred two trillion, six hundred sixty-six billion, seven hundred sixty-four million, three hundred ninety thousand, four hundred".