11072051760 has 720 divisors, whose sum is σ = 45483088896. Its totient is φ = 2217600000.

The previous prime is 11072051747. The next prime is 11072051777. The reversal of 11072051760 is 6715027011.

It is a super-2 number, since 2×11072051760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44111635 + ... + 44111885.

Almost surely, 2^11072051760 is an apocalyptic number.

11072051760 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 11072051760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741544448).

11072051760 is an abundant number, since it is smaller than the sum of its proper divisors (34411037136).

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

11072051760 is a wasteful number, since it uses less digits than its factorization.

11072051760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

Adding to 11072051760 its reverse (6715027011), we get a palindrome (17787078771).

The spelling of 11072051760 in words is "eleven billion, seventy-two million, fifty-one thousand, seven hundred sixty".