9925068561408 has 1408 divisors, whose sum is σ = 40028834119680. Its totient is φ = 2345656320000.

The previous prime is 9925068561389. The next prime is 9925068561409. The reversal of 9925068561408 is 8041658605299.

9925068561408 is a `hidden beast` number, since 9 + 9 + 2 + 5 + 0 + 6 + 8 + 5 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925068561409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1964968483 + ... + 1964973533.

Almost surely, 2^{9925068561408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9925068561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014417059840).

9925068561408 is an abundant number, since it is smaller than the sum of its proper divisors (30103765558272).

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

9925068561408 is a wasteful number, since it uses less digits than its factorization.

9925068561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 9925068561408 in words is "nine trillion, nine hundred twenty-five billion, sixty-eight million, five hundred sixty-one thousand, four hundred eight".