352777420800 has 1800 divisors, whose sum is σ = 1573235417600. Its totient is φ = 78033715200.

The previous prime is 352777420789. The next prime is 352777420883. The reversal of 352777420800 is 8024777253.

352777420800 is a `hidden beast` number, since 3 + 527 + 7 + 7 + 42 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11379916785 + ... + 11379916815.

Almost surely, 2^352777420800 is an apocalyptic number.

352777420800 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 352777420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786617708800).

352777420800 is an abundant number, since it is smaller than the sum of its proper divisors (1220457996800).

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

352777420800 is an frugal number, since it uses more digits than its factorization.

352777420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 352777420800 in words is "three hundred fifty-two billion, seven hundred seventy-seven million, four hundred twenty thousand, eight hundred".