10511142400 has 120 divisors (see below), whose sum is σ = 28410027624. Its totient is φ = 3822182400.

The previous prime is 10511142377. The next prime is 10511142419. The reversal of 10511142400 is 424111501.

It is a super-2 number, since 2×10511142400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103474 + ... + 178126.

Almost surely, 2^10511142400 is an apocalyptic number.

10511142400 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 10511142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14205013812).

10511142400 is an abundant number, since it is smaller than the sum of its proper divisors (17898885224).

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

10511142400 is an equidigital number, since it uses as much as digits as its factorization.

10511142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74692 (or 74671 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 10511142400 its reverse (424111501), we get a palindrome (10935253901).

The spelling of 10511142400 in words is "ten billion, five hundred eleven million, one hundred forty-two thousand, four hundred".