101647082880 has 768 divisors, whose sum is σ = 411339202560. Its totient is φ = 22651453440.

The previous prime is 101647082869. The next prime is 101647082903. The reversal of 101647082880 is 88280746101.

101647082880 is a `hidden beast` number, since 10 + 16 + 470 + 82 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 515974942 + ... + 515975138.

It is an arithmetic number, because the mean of its divisors is an integer number (535597920).

Almost surely, 2^101647082880 is an apocalyptic number.

101647082880 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 101647082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205669601280).

101647082880 is an abundant number, since it is smaller than the sum of its proper divisors (309692119680).

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

101647082880 is a wasteful number, since it uses less digits than its factorization.

101647082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 101647082880 in words is "one hundred one billion, six hundred forty-seven million, eighty-two thousand, eight hundred eighty".