10858211232400 has 135 divisors (see below), whose sum is σ = 30347219783739. Its totient is φ = 3722657111040.

The previous prime is 10858211232377. The next prime is 10858211232439. The reversal of 10858211232400 is 423211285801.

It is a happy number.

The square root of 10858211232400 is 3295180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1066518860176 + 9791692372224 = 1032724^2 + 3129168^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10858211232400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 461313432 + ... + 461336968.

Almost surely, 2^{10858211232400} is an apocalyptic number.

10858211232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10858211232400 is the 3295180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10858211232400

10858211232400 is an abundant number, since it is smaller than the sum of its proper divisors (19489008551339).

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

10858211232400 is an frugal number, since it uses more digits than its factorization.

10858211232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47106 (or 23551 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 10858211232400 in words is "ten trillion, eight hundred fifty-eight billion, two hundred eleven million, two hundred thirty-two thousand, four hundred".