10276093152 has 216 divisors, whose sum is σ = 33218423784. Its totient is φ = 2995066368.

The previous prime is 10276093151. The next prime is 10276093181. The reversal of 10276093152 is 25139067201.

10276093152 is a `hidden beast` number, since 10 + 2 + 7 + 609 + 31 + 5 + 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 (10276093151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1347783 + ... + 1355385.

It is an arithmetic number, because the mean of its divisors is an integer number (153788999).

Almost surely, 2^10276093152 is an apocalyptic number.

10276093152 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 10276093152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609211892).

10276093152 is an abundant number, since it is smaller than the sum of its proper divisors (22942330632).

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

10276093152 is a wasteful number, since it uses less digits than its factorization.

10276093152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10276093152 in words is "ten billion, two hundred seventy-six million, ninety-three thousand, one hundred fifty-two".