10825145604 has 216 divisors, whose sum is σ = 34100015040. Its totient is φ = 2835046656.

The previous prime is 10825145599. The next prime is 10825145621. The reversal of 10825145604 is 40654152801.

It is a happy number.

10825145604 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 5 + 1 + 45 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6685507 + ... + 6687125.

It is an arithmetic number, because the mean of its divisors is an integer number (157870440).

Almost surely, 2^10825145604 is an apocalyptic number.

10825145604 is a gapful number since it is divisible by the number (14) 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 10825145604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050007520).

10825145604 is an abundant number, since it is smaller than the sum of its proper divisors (23274869436).

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

10825145604 is a wasteful number, since it uses less digits than its factorization.

10825145604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10825145604 in words is "ten billion, eight hundred twenty-five million, one hundred forty-five thousand, six hundred four".