101587586880 has 224 divisors, whose sum is σ = 352538653824. Its totient is φ = 24632745984.

The previous prime is 101587586879. The next prime is 101587586887. The reversal of 101587586880 is 88685785101.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 101587586880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101587586887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775414 + ... + 896906.

It is an arithmetic number, because the mean of its divisors is an integer number (1573833276).

Almost surely, 2^101587586880 is an apocalyptic number.

101587586880 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 101587586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176269326912).

101587586880 is an abundant number, since it is smaller than the sum of its proper divisors (250951066944).

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

101587586880 is a wasteful number, since it uses less digits than its factorization.

101587586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121593 (or 121583 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 57.

The spelling of 101587586880 in words is "one hundred one billion, five hundred eighty-seven million, five hundred eighty-six thousand, eight hundred eighty".