11897519402880 has 384 divisors, whose sum is σ = 42448396573440. Its totient is φ = 3067468185600.

The previous prime is 11897519402827. The next prime is 11897519402903. The reversal of 11897519402880 is 8820491579811.

11897519402880 is a `hidden beast` number, since 1 + 1 + 8 + 97 + 519 + 4 + 0 + 28 + 8 + 0 = 666.

11897519402880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195135600 + ... + 195196560.

It is an arithmetic number, because the mean of its divisors is an integer number (110542699410).

Almost surely, 2^{11897519402880} is an apocalyptic number.

11897519402880 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 11897519402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21224198286720).

11897519402880 is an abundant number, since it is smaller than the sum of its proper divisors (30550877170560).

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

11897519402880 is a wasteful number, since it uses less digits than its factorization.

11897519402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62110 (or 62095 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The spelling of 11897519402880 in words is "eleven trillion, eight hundred ninety-seven billion, five hundred nineteen million, four hundred two thousand, eight hundred eighty".