10327546152 has 240 divisors, whose sum is σ = 35603174880. Its totient is φ = 2681985600.

The previous prime is 10327546123. The next prime is 10327546157. The reversal of 10327546152 is 25164572301.

10327546152 is a `hidden beast` number, since 1 + 0 + 32 + 7 + 5 + 4 + 615 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10327546157) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1898877 + ... + 1904307.

It is an arithmetic number, because the mean of its divisors is an integer number (148346562).

Almost surely, 2^10327546152 is an apocalyptic number.

10327546152 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 10327546152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801587440).

10327546152 is an abundant number, since it is smaller than the sum of its proper divisors (25275628728).

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

10327546152 is a wasteful number, since it uses less digits than its factorization.

10327546152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5482 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10327546152 in words is "ten billion, three hundred twenty-seven million, five hundred forty-six thousand, one hundred fifty-two".