102555781751808 has 3520 divisors, whose sum is σ = 424493510284800. Its totient is φ = 24346519142400.

The previous prime is 102555781751789. The next prime is 102555781751809. The reversal of 102555781751808 is 808157187555201.

It is a happy number.

102555781751808 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 578 + 1 + 7 + 51 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×102555781751808² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (102555781751809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 196844110588 + ... + 196844111108.

It is an arithmetic number, because the mean of its divisors is an integer number (120594747240).

Almost surely, 2^{102555781751808} is an apocalyptic number.

102555781751808 is a gapful number since it is divisible by the number (18) 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 102555781751808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212246755142400).

102555781751808 is an abundant number, since it is smaller than the sum of its proper divisors (321937728532992).

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

102555781751808 is a wasteful number, since it uses less digits than its factorization.

102555781751808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 31360000, while the sum is 63.

The spelling of 102555781751808 in words is "one hundred two trillion, five hundred fifty-five billion, seven hundred eighty-one million, seven hundred fifty-one thousand, eight hundred eight".