128987508903552 has 512 divisors, whose sum is σ = 427961208729600. Its totient is φ = 37948696473600.

The previous prime is 128987508903541. The next prime is 128987508903559. The reversal of 128987508903552 is 255309805789821.

It is a happy number.

128987508903552 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 87 + 508 + 9 + 0 + 35 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (128987508903559) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2946041853 + ... + 2946085635.

It is an arithmetic number, because the mean of its divisors is an integer number (835861735800).

Almost surely, 2^{128987508903552} is an apocalyptic number.

128987508903552 is a gapful number since it is divisible by the number (12) 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 128987508903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213980604364800).

128987508903552 is an abundant number, since it is smaller than the sum of its proper divisors (298973699826048).

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

128987508903552 is a wasteful number, since it uses less digits than its factorization.

128987508903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46693 (or 46675 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 72.

The spelling of 128987508903552 in words is "one hundred twenty-eight trillion, nine hundred eighty-seven billion, five hundred eight million, nine hundred three thousand, five hundred fifty-two".