128415525638400 has 3456 divisors, whose sum is σ = 636971831193600. Its totient is φ = 24446848204800.

The previous prime is 128415525638347. The next prime is 128415525638437. The reversal of 128415525638400 is 4836525514821.

128415525638400 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 1 + 5 + 5 + 256 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23697270891 + ... + 23697276309.

Almost surely, 2^{128415525638400} is an apocalyptic number.

128415525638400 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 128415525638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318485915596800).

128415525638400 is an abundant number, since it is smaller than the sum of its proper divisors (508556305555200).

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

128415525638400 is a wasteful number, since it uses less digits than its factorization.

128415525638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 128415525638400 in words is "one hundred twenty-eight trillion, four hundred fifteen billion, five hundred twenty-five million, six hundred thirty-eight thousand, four hundred".