534501145200 has 240 divisors, whose sum is σ = 1873858851072. Its totient is φ = 129158400000.

The previous prime is 534501145193. The next prime is 534501145253. The reversal of 534501145200 is 2541105435.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×534501145200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4040100 + ... + 4170300.

Almost surely, 2^534501145200 is an apocalyptic number.

534501145200 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 534501145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936929425536).

534501145200 is an abundant number, since it is smaller than the sum of its proper divisors (1339357705872).

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

534501145200 is a wasteful number, since it uses less digits than its factorization.

534501145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130544 (or 130533 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 534501145200 in words is "five hundred thirty-four billion, five hundred one million, one hundred forty-five thousand, two hundred".