10274532120 has 192 divisors, whose sum is σ = 34957578240. Its totient is φ = 2613945600.

The previous prime is 10274532113. The next prime is 10274532127. The reversal of 10274532120 is 2123547201.

10274532120 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 4 + 532 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (10274532113) and next prime (10274532127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10274532127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785877 + ... + 798843.

It is an arithmetic number, because the mean of its divisors is an integer number (182070720).

Almost surely, 2^10274532120 is an apocalyptic number.

10274532120 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 10274532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478789120).

10274532120 is an abundant number, since it is smaller than the sum of its proper divisors (24683046120).

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

10274532120 is a wasteful number, since it uses less digits than its factorization.

10274532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13086 (or 13079 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10274532120 in words is "ten billion, two hundred seventy-four million, five hundred thirty-two thousand, one hundred twenty".