290538421976880 has 3360 divisors, whose sum is σ = 1344577191552000. Its totient is φ = 56965990625280.

The previous prime is 290538421976857. The next prime is 290538421976921. The reversal of 290538421976880 is 88679124835092.

290538421976880 is a `hidden beast` number, since 2 + 9 + 0 + 5 + 38 + 421 + 97 + 6 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 290538421976799 and 290538421976808.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 327551771797 + ... + 327551772683.

It is an arithmetic number, because the mean of its divisors is an integer number (400171783200).

It is a 1-persistent number, because it is pandigital, but 2⋅290538421976880 = 581076843953760 is not.

Almost surely, 2^{290538421976880} is an apocalyptic number.

290538421976880 is a gapful number since it is divisible by the number (20) 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 290538421976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672288595776000).

290538421976880 is an abundant number, since it is smaller than the sum of its proper divisors (1054038769575120).

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

290538421976880 is a wasteful number, since it uses less digits than its factorization.

290538421976880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 290538421976880 in words is "two hundred ninety trillion, five hundred thirty-eight billion, four hundred twenty-one million, nine hundred seventy-six thousand, eight hundred eighty".