10894819572 has 288 divisors, whose sum is σ = 35195731200. Its totient is φ = 2853646848.

The previous prime is 10894819553. The next prime is 10894819591. The reversal of 10894819572 is 27591849801.

It is a happy number.

10894819572 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 481 + 95 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (10894819553) and next prime (10894819591).

It is a super-4 number, since 4×10894819572⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34368358 + ... + 34368674.

It is an arithmetic number, because the mean of its divisors is an integer number (122207400).

Almost surely, 2^10894819572 is an apocalyptic number.

10894819572 is a gapful number since it is divisible by the number (12) 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 10894819572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597865600).

10894819572 is an abundant number, since it is smaller than the sum of its proper divisors (24300911628).

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

10894819572 is a wasteful number, since it uses less digits than its factorization.

10894819572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10894819572 in words is "ten billion, eight hundred ninety-four million, eight hundred nineteen thousand, five hundred seventy-two".