101558354096640 has 960 divisors, whose sum is σ = 381128816623104. Its totient is φ = 23001795919872.

The previous prime is 101558354096629. The next prime is 101558354096669. The reversal of 101558354096640 is 46690453855101.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34697078857 + ... + 34697081783.

Almost surely, 2^{101558354096640} is an apocalyptic number.

101558354096640 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 101558354096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190564408311552).

101558354096640 is an abundant number, since it is smaller than the sum of its proper divisors (279570462526464).

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

101558354096640 is a wasteful number, since it uses less digits than its factorization.

101558354096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 101558354096640 in words is "one hundred one trillion, five hundred fifty-eight billion, three hundred fifty-four million, ninety-six thousand, six hundred forty".