11698951680 has 480 divisors, whose sum is σ = 44103739680. Its totient is φ = 2848849920.

The previous prime is 11698951639. The next prime is 11698951687. The reversal of 11698951680 is 8615989611.

11698951680 is a `hidden beast` number, since 116 + 9 + 8 + 9 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11698951687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41633140 + ... + 41633420.

It is an arithmetic number, because the mean of its divisors is an integer number (91882791).

Almost surely, 2^11698951680 is an apocalyptic number.

11698951680 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 11698951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22051869840).

11698951680 is an abundant number, since it is smaller than the sum of its proper divisors (32404788000).

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

11698951680 is a wasteful number, since it uses less digits than its factorization.

11698951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 11698951680 in words is "eleven billion, six hundred ninety-eight million, nine hundred fifty-one thousand, six hundred eighty".