10882401552 has 120 divisors (see below), whose sum is σ = 33547370688. Its totient is φ = 3265632000.

The previous prime is 10882401469. The next prime is 10882401571. The reversal of 10882401552 is 25510428801.

10882401552 is a `hidden beast` number, since 1 + 0 + 88 + 24 + 0 + 1 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129802 + ... + 196502.

Almost surely, 2^10882401552 is an apocalyptic number.

10882401552 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 10882401552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773685344).

10882401552 is an abundant number, since it is smaller than the sum of its proper divisors (22664969136).

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

10882401552 is a wasteful number, since it uses less digits than its factorization.

10882401552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66829 (or 66820 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 10882401552 in words is "ten billion, eight hundred eighty-two million, four hundred one thousand, five hundred fifty-two".