9925158559680 has 2016 divisors, whose sum is σ = 44546567817024. Its totient is φ = 2008587829248.

The previous prime is 9925158559651. The next prime is 9925158559699. The reversal of 9925158559680 is 869558515299.

9925158559680 is a `hidden beast` number, since 9 + 9 + 2 + 5 + 1 + 5 + 8 + 559 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9925158559599 and 9925158559608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4955145559 + ... + 4955147561.

It is an arithmetic number, because the mean of its divisors is an integer number (22096511814).

Almost surely, 2^{9925158559680} is an apocalyptic number.

9925158559680 is a gapful number since it is divisible by the number (90) 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 9925158559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273283908512).

9925158559680 is an abundant number, since it is smaller than the sum of its proper divisors (34621409257344).

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

9925158559680 is a wasteful number, since it uses less digits than its factorization.

9925158559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 349920000, while the sum is 72.

The spelling of 9925158559680 in words is "nine trillion, nine hundred twenty-five billion, one hundred fifty-eight million, five hundred fifty-nine thousand, six hundred eighty".