10541898900000 has 2592 divisors, whose sum is σ = 44847821805696. Its totient is φ = 2426112000000.

The previous prime is 10541898899999. The next prime is 10541898900007. The reversal of 10541898900000 is 989814501.

10541898900000 is a `hidden beast` number, since 10 + 541 + 8 + 9 + 8 + 90 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×10541898900000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541898900007) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 69813899925 + ... + 69813900075.

It is an arithmetic number, because the mean of its divisors is an integer number (17302400388).

Almost surely, 2^{10541898900000} is an apocalyptic number.

10541898900000 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 10541898900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22423910902848).

10541898900000 is an abundant number, since it is smaller than the sum of its proper divisors (34305922905696).

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

10541898900000 is an equidigital number, since it uses as much as digits as its factorization.

10541898900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10541898900000 in words is "ten trillion, five hundred forty-one billion, eight hundred ninety-eight million, nine hundred thousand".