10445825698560 has 1152 divisors, whose sum is σ = 44812820828160. Its totient is φ = 2252435226624.

The previous prime is 10445825698547. The next prime is 10445825698577. The reversal of 10445825698560 is 6589652854401.

10445825698560 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 5 + 8 + 2 + 5 + 69 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406170822 + ... + 406196538.

It is an arithmetic number, because the mean of its divisors is an integer number (38900018080).

Almost surely, 2^{10445825698560} is an apocalyptic number.

10445825698560 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 10445825698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406410414080).

10445825698560 is an abundant number, since it is smaller than the sum of its proper divisors (34366995129600).

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

10445825698560 is a wasteful number, since it uses less digits than its factorization.

10445825698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25850 (or 25830 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 10445825698560 in words is "ten trillion, four hundred forty-five billion, eight hundred twenty-five million, six hundred ninety-eight thousand, five hundred sixty".