290195520048 has 480 divisors, whose sum is σ = 1009812510720. Its totient is φ = 79469268480.

The previous prime is 290195519969. The next prime is 290195520101. The reversal of 290195520048 is 840025591092.

It is a happy number.

290195520048 is a `hidden beast` number, since 2 + 90 + 1 + 9 + 552 + 0 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 290195519985 and 290195520012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70212190 + ... + 70216322.

It is an arithmetic number, because the mean of its divisors is an integer number (2103776064).

Almost surely, 2^290195520048 is an apocalyptic number.

290195520048 is a gapful number since it is divisible by the number (28) 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 290195520048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504906255360).

290195520048 is an abundant number, since it is smaller than the sum of its proper divisors (719616990672).

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

290195520048 is a wasteful number, since it uses less digits than its factorization.

290195520048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 290195520048 in words is "two hundred ninety billion, one hundred ninety-five million, five hundred twenty thousand, forty-eight".