10871395952400 has 405 divisors, whose sum is σ = 38062686664821. Its totient is φ = 2873452803840.

The previous prime is 10871395952381. The next prime is 10871395952437. The reversal of 10871395952400 is 425959317801.

It is a happy number.

The square root of 10871395952400 is 3297180.

It is a perfect power (a square), and thus also a powerful number.

10871395952400 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 1 + 3 + 9 + 595 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3913702542864 + 6957693409536 = 1978308^2 + 2637744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35411713047 + ... + 35411713353.

Almost surely, 2^{10871395952400} is an apocalyptic number.

10871395952400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10871395952400 is the 3297180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10871395952400

10871395952400 is an abundant number, since it is smaller than the sum of its proper divisors (27191290712421).

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

10871395952400 is an equidigital number, since it uses as much as digits as its factorization.

10871395952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10871395952400 in words is "ten trillion, eight hundred seventy-one billion, three hundred ninety-five million, nine hundred fifty-two thousand, four hundred".