11251779840 has 648 divisors, whose sum is σ = 46819438848. Its totient is φ = 2485002240.

The previous prime is 11251779829. The next prime is 11251779853. The reversal of 11251779840 is 4897715211.

It is a happy number.

11251779840 is a `hidden beast` number, since 1 + 1 + 2 + 517 + 7 + 98 + 40 = 666.

It is a super-4 number, since 4×11251779840⁴ (a number of 41 digits) contains 4444 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17498559 + ... + 17499201.

Almost surely, 2^11251779840 is an apocalyptic number.

11251779840 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 11251779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409719424).

11251779840 is an abundant number, since it is smaller than the sum of its proper divisors (35567659008).

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

11251779840 is a wasteful number, since it uses less digits than its factorization.

11251779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 11251779840 in words is "eleven billion, two hundred fifty-one million, seven hundred seventy-nine thousand, eight hundred forty".