102861665786880 has 9504 divisors, whose sum is σ = 555563492789760. Its totient is φ = 17878638919680.

The previous prime is 102861665786849. The next prime is 102861665786881. The reversal of 102861665786880 is 88687566168201.

102861665786880 is a `hidden beast` number, since 1 + 0 + 286 + 166 + 57 + 8 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (9504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 102861665786799 and 102861665786808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102861665786881) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4472246338549 + ... + 4472246338571.

Almost surely, 2^{102861665786880} is an apocalyptic number.

102861665786880 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 102861665786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277781746394880).

102861665786880 is an abundant number, since it is smaller than the sum of its proper divisors (452701827002880).

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

102861665786880 is a wasteful number, since it uses less digits than its factorization.

102861665786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 102861665786880 in words is "one hundred two trillion, eight hundred sixty-one billion, six hundred sixty-five million, seven hundred eighty-six thousand, eight hundred eighty".