380869500211200 has 4992 divisors, whose sum is σ = 1902920538624000. Its totient is φ = 73010891980800.

The previous prime is 380869500211183. The next prime is 380869500211237. The reversal of 380869500211200 is 2112005968083.

380869500211200 is a `hidden beast` number, since 3 + 80 + 8 + 69 + 500 + 2 + 1 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×380869500211200² (a number of 30 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 224172747951 + ... + 224172749649.

Almost surely, 2^{380869500211200} is an apocalyptic number.

380869500211200 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 380869500211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951460269312000).

380869500211200 is an abundant number, since it is smaller than the sum of its proper divisors (1522051038412800).

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

380869500211200 is a wasteful number, since it uses less digits than its factorization.

380869500211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 380869500211200 in words is "three hundred eighty trillion, eight hundred sixty-nine billion, five hundred million, two hundred eleven thousand, two hundred".