11761235606442 has 288 divisors, whose sum is σ = 29405385884160. Its totient is φ = 3123478955520.

The previous prime is 11761235606437. The next prime is 11761235606501. The reversal of 11761235606442 is 24460653216711.

It is a junction number, because it is equal to n+sod(n) for n = 11761235606391 and 11761235606400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1509976284 + ... + 1509984072.

It is an arithmetic number, because the mean of its divisors is an integer number (102102034320).

Almost surely, 2^{11761235606442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11761235606442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702692942080).

11761235606442 is an abundant number, since it is smaller than the sum of its proper divisors (17644150277718).

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

11761235606442 is a wasteful number, since it uses less digits than its factorization.

11761235606442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8094 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 11761235606442 in words is "eleven trillion, seven hundred sixty-one billion, two hundred thirty-five million, six hundred six thousand, four hundred forty-two".