290672972352 has 168 divisors, whose sum is σ = 952442404992. Its totient is φ = 83026944000.

The previous prime is 290672972351. The next prime is 290672972371. The reversal of 290672972352 is 253279276092.

290672972352 is a `hidden beast` number, since 290 + 67 + 297 + 2 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (290672972351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19955152 + ... + 19969712.

Almost surely, 2^290672972352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290672972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476221202496).

290672972352 is an abundant number, since it is smaller than the sum of its proper divisors (661769432640).

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

290672972352 is a wasteful number, since it uses less digits than its factorization.

290672972352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19537 (or 19524 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 290672972352 in words is "two hundred ninety billion, six hundred seventy-two million, nine hundred seventy-two thousand, three hundred fifty-two".