11496289950 has 216 divisors, whose sum is σ = 33152279160. Its totient is φ = 2855347200.

The previous prime is 11496289921. The next prime is 11496289951. The reversal of 11496289950 is 5998269411.

11496289950 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 628 + 9 + 9 + 5 + 0 = 666.

It is a super-2 number, since 2×11496289950² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11496289951) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14175045 + ... + 14175855.

Almost surely, 2^11496289950 is an apocalyptic number.

11496289950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11496289950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16576139580).

11496289950 is an abundant number, since it is smaller than the sum of its proper divisors (21655989210).

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

11496289950 is a wasteful number, since it uses less digits than its factorization.

11496289950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11496289950 in words is "eleven billion, four hundred ninety-six million, two hundred eighty-nine thousand, nine hundred fifty".