10214725824 has 168 divisors, whose sum is σ = 30147207168. Its totient is φ = 3305111040.

The previous prime is 10214725819. The next prime is 10214725837. The reversal of 10214725824 is 42852741201.

10214725824 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 72 + 582 + 4 = 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 23 ways as a sum of consecutive naturals, for example, 3436659 + ... + 3439629.

Almost surely, 2^10214725824 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 10214725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073603584).

10214725824 is an abundant number, since it is smaller than the sum of its proper divisors (19932481344).

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

10214725824 is a wasteful number, since it uses less digits than its factorization.

10214725824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10214725824 in words is "ten billion, two hundred fourteen million, seven hundred twenty-five thousand, eight hundred twenty-four".