10271619072 has 480 divisors, whose sum is σ = 36127531440. Its totient is φ = 2866544640.

The previous prime is 10271619031. The next prime is 10271619073. The reversal of 10271619072 is 27091617201.

It is a happy number.

10271619072 is a `hidden beast` number, since 10 + 27 + 1 + 619 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271619073) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23721768 + ... + 23722200.

Almost surely, 2^10271619072 is an apocalyptic number.

10271619072 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 10271619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063765720).

10271619072 is an abundant number, since it is smaller than the sum of its proper divisors (25855912368).

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

10271619072 is a wasteful number, since it uses less digits than its factorization.

10271619072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 10271619072 in words is "ten billion, two hundred seventy-one million, six hundred nineteen thousand, seventy-two".