10405211552 has 48 divisors (see below), whose sum is σ = 21087646272. Its totient is φ = 5051074560.

The previous prime is 10405211549. The next prime is 10405211561. The reversal of 10405211552 is 25511250401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207152 + ... + 252432.

It is an arithmetic number, because the mean of its divisors is an integer number (439325964).

Almost surely, 2^10405211552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405211552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10543823136).

10405211552 is an abundant number, since it is smaller than the sum of its proper divisors (10682434720).

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

10405211552 is a wasteful number, since it uses less digits than its factorization.

10405211552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45501 (or 45493 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 10405211552 its reverse (25511250401), we get a palindrome (35916461953).

The spelling of 10405211552 in words is "ten billion, four hundred five million, two hundred eleven thousand, five hundred fifty-two".