11641071563520 has 1152 divisors, whose sum is σ = 45582370541568. Its totient is φ = 2474115072000.

The previous prime is 11641071563507. The next prime is 11641071563549. The reversal of 11641071563520 is 2536517014611.

11641071563520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8947786870 + ... + 8947788170.

It is an arithmetic number, because the mean of its divisors is an integer number (39568029984).

Almost surely, 2^{11641071563520} is an apocalyptic number.

11641071563520 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 11641071563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22791185270784).

11641071563520 is an abundant number, since it is smaller than the sum of its proper divisors (33941298978048).

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

11641071563520 is a wasteful number, since it uses less digits than its factorization.

11641071563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 11641071563520 in words is "eleven trillion, six hundred forty-one billion, seventy-one million, five hundred sixty-three thousand, five hundred twenty".