11945499840 has 224 divisors, whose sum is σ = 42217848000. Its totient is φ = 3179667456.

The previous prime is 11945499833. The next prime is 11945499893. The reversal of 11945499840 is 4899454911.

11945499840 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 549 + 98 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6988906 + ... + 6990614.

Almost surely, 2^11945499840 is an apocalyptic number.

11945499840 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 11945499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108924000).

11945499840 is an abundant number, since it is smaller than the sum of its proper divisors (30272348160).

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

11945499840 is a wasteful number, since it uses less digits than its factorization.

11945499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11945499840 in words is "eleven billion, nine hundred forty-five million, four hundred ninety-nine thousand, eight hundred forty".