128920767498000 has 240 divisors, whose sum is σ = 450290750141232. Its totient is φ = 34377841920000.

The previous prime is 128920767497969. The next prime is 128920767498031. The reversal of 128920767498000 is 894767029821.

128920767498000 is a `hidden beast` number, since 1 + 2 + 89 + 2 + 0 + 7 + 67 + 498 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128920767497969) and next prime (128920767498031).

It can be written as a sum of positive squares in 8 ways, for example, as 4290515678736 + 124630251819264 = 2071356^2 + 11163792^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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, 744771460 + ... + 744944540.

Almost surely, 2^{128920767498000} is an apocalyptic number.

128920767498000 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 128920767498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225145375070616).

128920767498000 is an abundant number, since it is smaller than the sum of its proper divisors (321369982643232).

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

128920767498000 is a wasteful number, since it uses less digits than its factorization.

128920767498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214491 (or 214472 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 128920767498000 in words is "one hundred twenty-eight trillion, nine hundred twenty billion, seven hundred sixty-seven million, four hundred ninety-eight thousand".