128537584570368 has 364 divisors, whose sum is σ = 386251739937900. Its totient is φ = 42749990535168.

The previous prime is 128537584570303. The next prime is 128537584570397. The reversal of 128537584570368 is 863075485735821.

It is a happy number.

128537584570368 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 3 + 7 + 584 + 5 + 7 + 0 + 36 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78245205479424 + 50292379090944 = 8845632^2 + 7091712^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 128537584570296 and 128537584570305.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1340658880 + ... + 1340754752.

Almost surely, 2^{128537584570368} is an apocalyptic number.

128537584570368 is a gapful number since it is divisible by the number (18) 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 128537584570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193125869968950).

128537584570368 is an abundant number, since it is smaller than the sum of its proper divisors (257714155367532).

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

128537584570368 is an frugal number, since it uses more digits than its factorization.

128537584570368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96364 (or 96327 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 128537584570368 in words is "one hundred twenty-eight trillion, five hundred thirty-seven billion, five hundred eighty-four million, five hundred seventy thousand, three hundred sixty-eight".