11761041600 has 504 divisors, whose sum is σ = 52121092608. Its totient is φ = 2443622400.

The previous prime is 11761041587. The next prime is 11761041613. The reversal of 11761041600 is 614016711.

11761041600 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 10 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (11761041587) and next prime (11761041613).

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1103497 + ... + 1114103.

Almost surely, 2^11761041600 is an apocalyptic number.

11761041600 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 11761041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26060546304).

11761041600 is an abundant number, since it is smaller than the sum of its proper divisors (40360051008).

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

11761041600 is a wasteful number, since it uses less digits than its factorization.

11761041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10653 (or 10635 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11761041600 in words is "eleven billion, seven hundred sixty-one million, forty-one thousand, six hundred".