10951505532 has 576 divisors, whose sum is σ = 35693199360. Its totient is φ = 2897337600.

The previous prime is 10951505503. The next prime is 10951505557. The reversal of 10951505532 is 23550515901.

10951505532 is a `hidden beast` number, since 1 + 0 + 9 + 51 + 50 + 553 + 2 = 666.

10951505532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 233010733 + ... + 233010779.

It is an arithmetic number, because the mean of its divisors is an integer number (61967360).

Almost surely, 2^10951505532 is an apocalyptic number.

10951505532 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 10951505532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846599680).

10951505532 is an abundant number, since it is smaller than the sum of its proper divisors (24741693828).

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

10951505532 is a wasteful number, since it uses less digits than its factorization.

10951505532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 10951505532 in words is "ten billion, nine hundred fifty-one million, five hundred five thousand, five hundred thirty-two".