609090125280 has 768 divisors, whose sum is σ = 2514555187200. Its totient is φ = 122913939456.

The previous prime is 609090125207. The next prime is 609090125299. The reversal of 609090125280 is 82521090906.

609090125280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49221174 + ... + 49233546.

It is an arithmetic number, because the mean of its divisors is an integer number (3274160400).

Almost surely, 2^609090125280 is an apocalyptic number.

609090125280 is a gapful number since it is divisible by the number (60) 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 609090125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257277593600).

609090125280 is an abundant number, since it is smaller than the sum of its proper divisors (1905465061920).

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

609090125280 is a wasteful number, since it uses less digits than its factorization.

609090125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12448 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 609090125280 in words is "six hundred nine billion, ninety million, one hundred twenty-five thousand, two hundred eighty".