11140651600 has 120 divisors (see below), whose sum is σ = 29818638360. Its totient is φ = 3971573760.

The previous prime is 11140651597. The next prime is 11140651601. The reversal of 11140651600 is 615604111.

It can be written as a sum of positive squares in 12 ways, for example, as 6987622464 + 4153029136 = 83592^2 + 64444^2 .

It is a super-2 number, since 2×11140651600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140651601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113862 + ... + 187738.

It is an arithmetic number, because the mean of its divisors is an integer number (248488653).

Almost surely, 2^11140651600 is an apocalyptic number.

11140651600 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 11140651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909319180).

11140651600 is an abundant number, since it is smaller than the sum of its proper divisors (18677986760).

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

11140651600 is a wasteful number, since it uses less digits than its factorization.

11140651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73937 (or 73926 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 11140651600 in words is "eleven billion, one hundred forty million, six hundred fifty-one thousand, six hundred".