102011690883960 has 1280 divisors, whose sum is σ = 426871436745600. Its totient is φ = 21502933401600.

The previous prime is 102011690883899. The next prime is 102011690883983. The reversal of 102011690883960 is 69388096110201.

102011690883960 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 169 + 0 + 88 + 396 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102011690883897 and 102011690883906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 550794892 + ... + 550980068.

Almost surely, 2^{102011690883960} is an apocalyptic number.

102011690883960 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 102011690883960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213435718372800).

102011690883960 is an abundant number, since it is smaller than the sum of its proper divisors (324859745861640).

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

102011690883960 is a wasteful number, since it uses less digits than its factorization.

102011690883960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185294 (or 185281 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 102011690883960 in words is "one hundred two trillion, eleven billion, six hundred ninety million, eight hundred eighty-three thousand, nine hundred sixty".