11990415360 has 768 divisors, whose sum is σ = 49476510720. Its totient is φ = 2406481920.

The previous prime is 11990415337. The next prime is 11990415373. The reversal of 11990415360 is 6351409911.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87521212 + ... + 87521348.

It is an arithmetic number, because the mean of its divisors is an integer number (64422540).

Almost surely, 2^11990415360 is an apocalyptic number.

11990415360 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 11990415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738255360).

11990415360 is an abundant number, since it is smaller than the sum of its proper divisors (37486095360).

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

11990415360 is a wasteful number, since it uses less digits than its factorization.

11990415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

It can be divided in two parts, 11990 and 415360, that added together give a triangular number (427350 = T₉₂₄).

The spelling of 11990415360 in words is "eleven billion, nine hundred ninety million, four hundred fifteen thousand, three hundred sixty".