350887822560 has 1152 divisors, whose sum is σ = 1407929402880. Its totient is φ = 81494138880.

The previous prime is 350887822547. The next prime is 350887822561. The reversal of 350887822560 is 65228788053.

350887822560 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 8 + 78 + 2 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 350887822497 and 350887822506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350887822561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1505956204 + ... + 1505956436.

It is an arithmetic number, because the mean of its divisors is an integer number (1222160940).

Almost surely, 2^350887822560 is an apocalyptic number.

350887822560 is a gapful number since it is divisible by the number (30) 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 350887822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703964701440).

350887822560 is an abundant number, since it is smaller than the sum of its proper divisors (1057041580320).

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

350887822560 is a wasteful number, since it uses less digits than its factorization.

350887822560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 350887822560 in words is "three hundred fifty billion, eight hundred eighty-seven million, eight hundred twenty-two thousand, five hundred sixty".