8138692900800 has 2016 divisors, whose sum is σ = 37435298987520. Its totient is φ = 1683652608000.

The previous prime is 8138692900787. The next prime is 8138692900813. The reversal of 8138692900800 is 80092968318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8138692900787) and next prime (8138692900813).

It is a tau number, because it is divible by the number of its divisors (2016).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12696868480 + ... + 12696869120.

It is an arithmetic number, because the mean of its divisors is an integer number (18569096720).

Almost surely, 2^{8138692900800} is an apocalyptic number.

8138692900800 is a gapful number since it is divisible by the number (80) 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 8138692900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18717649493760).

8138692900800 is an abundant number, since it is smaller than the sum of its proper divisors (29296606086720).

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

8138692900800 is a wasteful number, since it uses less digits than its factorization.

8138692900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1016 counting only the distinct ones).

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

The spelling of 8138692900800 in words is "eight trillion, one hundred thirty-eight billion, six hundred ninety-two million, nine hundred thousand, eight hundred".