11759828900040 has 320 divisors, whose sum is σ = 44806908484800. Its totient is φ = 2742372868608.

The previous prime is 11759828900023. The next prime is 11759828900093. The reversal of 11759828900040 is 4000982895711.

It is a happy number.

11759828900040 is a `hidden beast` number, since 1 + 1 + 7 + 598 + 2 + 8 + 9 + 0 + 0 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11759828900040.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6547042 + ... + 8147601.

It is an arithmetic number, because the mean of its divisors is an integer number (140021589015).

Almost surely, 2^{11759828900040} is an apocalyptic number.

11759828900040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11759828900040 is an abundant number, since it is smaller than the sum of its proper divisors (33047079584760).

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

11759828900040 is a wasteful number, since it uses less digits than its factorization.

11759828900040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14694698 (or 14694685 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 11759828900040 in words is "eleven trillion, seven hundred fifty-nine billion, eight hundred twenty-eight million, nine hundred thousand, forty".