11151510040 has 192 divisors, whose sum is σ = 28373496480. Its totient is φ = 3940147200.

The previous prime is 11151510023. The next prime is 11151510053. The reversal of 11151510040 is 4001515111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31590504 + ... + 31590856.

Almost surely, 2^11151510040 is an apocalyptic number.

11151510040 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 11151510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186748240).

11151510040 is an abundant number, since it is smaller than the sum of its proper divisors (17221986440).

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

11151510040 is a wasteful number, since it uses less digits than its factorization.

11151510040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 19.

The spelling of 11151510040 in words is "eleven billion, one hundred fifty-one million, five hundred ten thousand, forty".