100082627440640 has 832 divisors, whose sum is σ = 274863119731200. Its totient is φ = 34714945585152.

The previous prime is 100082627440633. The next prime is 100082627440711. The reversal of 100082627440640 is 46044726280001.

It is a tau number, because it is divible by the number of its divisors (832).

It is a junction number, because it is equal to n+sod(n) for n = 100082627440591 and 100082627440600.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 70036827446 + ... + 70036828874.

It is an arithmetic number, because the mean of its divisors is an integer number (330364326600).

Almost surely, 2^{100082627440640} is an apocalyptic number.

100082627440640 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 100082627440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137431559865600).

100082627440640 is an abundant number, since it is smaller than the sum of its proper divisors (174780492290560).

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

100082627440640 is a wasteful number, since it uses less digits than its factorization.

100082627440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 100082627440640 in words is "one hundred trillion, eighty-two billion, six hundred twenty-seven million, four hundred forty thousand, six hundred forty".