534342052411200 has 2688 divisors, whose sum is σ = 2213898408099840. Its totient is φ = 124237686988800.

The previous prime is 534342052411127. The next prime is 534342052411247. The reversal of 534342052411200 is 2114250243435.

It is a happy number.

534342052411200 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 4 + 2 + 0 + 524 + 1 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 831014078079 + ... + 831014078721.

It is an arithmetic number, because the mean of its divisors is an integer number (823622919680).

Almost surely, 2^{534342052411200} is an apocalyptic number.

534342052411200 is a gapful number since it is divisible by the number (50) 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 534342052411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106949204049920).

534342052411200 is an abundant number, since it is smaller than the sum of its proper divisors (1679556355688640).

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

534342052411200 is a wasteful number, since it uses less digits than its factorization.

534342052411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 534342052411200 in words is "five hundred thirty-four trillion, three hundred forty-two billion, fifty-two million, four hundred eleven thousand, two hundred".