11496803135970 has 384 divisors, whose sum is σ = 30306744179712. Its totient is φ = 2789027942400.

The previous prime is 11496803135969. The next prime is 11496803136001. The reversal of 11496803135970 is 7953130869411.

It is a self number, because there is not a number n which added to its sum of digits gives 11496803135970.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23415077425 + ... + 23415077915.

It is an arithmetic number, because the mean of its divisors is an integer number (78923812968).

Almost surely, 2^{11496803135970} is an apocalyptic number.

11496803135970 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 11496803135970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153372089856).

11496803135970 is an abundant number, since it is smaller than the sum of its proper divisors (18809941043742).

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

11496803135970 is a wasteful number, since it uses less digits than its factorization.

11496803135970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 11496803135970 in words is "eleven trillion, four hundred ninety-six billion, eight hundred three million, one hundred thirty-five thousand, nine hundred seventy".