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128010129952320 = 263857211314189

128010129952320 has 6048 divisors, whose sum is σ = 620428990970880. Its totient is φ = 24831442944000.

The previous prime is 128010129952291. The next prime is 128010129952333. The reversal of 128010129952320 is 23259921010821.

128010129952320 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 1 + 0 + 12 + 99 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1438316066836 + ... + 1438316066924.

It is an arithmetic number, because the mean of its divisors is an integer number (102584158560).

Almost surely, 2128010129952320 is an apocalyptic number.

128010129952320 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 128010129952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310214495485440).

128010129952320 is an abundant number, since it is smaller than the sum of its proper divisors (492418861018560).

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

128010129952320 is an equidigital number, since it uses as much as digits as its factorization.

128010129952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 128010129952320 in words is "one hundred twenty-eight trillion, ten billion, one hundred twenty-nine million, nine hundred fifty-two thousand, three hundred twenty".