10541690880 has 416 divisors, whose sum is σ = 39052591104. Its totient is φ = 2378170368.

The previous prime is 10541690857. The next prime is 10541690899. The reversal of 10541690880 is 8809614501.

It is a super-2 number, since 2×10541690880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54620064 + ... + 54620256.

Almost surely, 2^10541690880 is an apocalyptic number.

10541690880 is a gapful number since it is divisible by the number (10) 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 10541690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19526295552).

10541690880 is an abundant number, since it is smaller than the sum of its proper divisors (28510900224).

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

10541690880 is a wasteful number, since it uses less digits than its factorization.

10541690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 10541690880 in words is "ten billion, five hundred forty-one million, six hundred ninety thousand, eight hundred eighty".