128407350600 has 768 divisors, whose sum is σ = 477869414400. Its totient is φ = 31629312000.

The previous prime is 128407350581. The next prime is 128407350637. The reversal of 128407350600 is 6053704821.

128407350600 is a `hidden beast` number, since 1 + 2 + 8 + 40 + 7 + 3 + 5 + 0 + 600 = 666.

It is a super-2 number, since 2×128407350600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363760024 + ... + 363760376.

It is an arithmetic number, because the mean of its divisors is an integer number (622225800).

Almost surely, 2^128407350600 is an apocalyptic number.

128407350600 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 128407350600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238934707200).

128407350600 is an abundant number, since it is smaller than the sum of its proper divisors (349462063800).

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

128407350600 is a wasteful number, since it uses less digits than its factorization.

128407350600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 128407350600 in words is "one hundred twenty-eight billion, four hundred seven million, three hundred fifty thousand, six hundred".