9901914251760 has 120 divisors (see below), whose sum is σ = 34485555751920. Its totient is φ = 2640510461952.

The previous prime is 9901914251729. The next prime is 9901914251773. The reversal of 9901914251760 is 671524191099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9901914251697 and 9901914251706.

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 23 ways as a sum of consecutive naturals, for example, 254659425 + ... + 254698304.

It is an arithmetic number, because the mean of its divisors is an integer number (287379631266).

Almost surely, 2^{9901914251760} is an apocalyptic number.

9901914251760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9901914251760 is an abundant number, since it is smaller than the sum of its proper divisors (24583641500160).

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

9901914251760 is a wasteful number, since it uses less digits than its factorization.

9901914251760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509357757 (or 509357739 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 9901914251760 in words is "nine trillion, nine hundred one billion, nine hundred fourteen million, two hundred fifty-one thousand, seven hundred sixty".