10257219720 has 192 divisors, whose sum is σ = 36485691840. Its totient is φ = 2478451200.

The previous prime is 10257219689. The next prime is 10257219733. The reversal of 10257219720 is 2791275201.

10257219720 is a `hidden beast` number, since 1 + 0 + 2 + 572 + 19 + 72 + 0 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251235 + ... + 1259405.

It is an arithmetic number, because the mean of its divisors is an integer number (190029645).

Almost surely, 2^10257219720 is an apocalyptic number.

10257219720 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 10257219720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242845920).

10257219720 is an abundant number, since it is smaller than the sum of its proper divisors (26228472120).

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

10257219720 is a wasteful number, since it uses less digits than its factorization.

10257219720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516 (or 8509 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 10257219720 in words is "ten billion, two hundred fifty-seven million, two hundred nineteen thousand, seven hundred twenty".