532142956800 has 1728 divisors, whose sum is σ = 2460591400960. Its totient is φ = 109525893120.

The previous prime is 532142956771. The next prime is 532142956811. The reversal of 532142956800 is 8659241235.

532142956800 is a `hidden beast` number, since 53 + 2 + 14 + 29 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×532142956800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 676166007 + ... + 676166793.

Almost surely, 2^532142956800 is an apocalyptic number.

532142956800 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 532142956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230295700480).

532142956800 is an abundant number, since it is smaller than the sum of its proper divisors (1928448444160).

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

532142956800 is a wasteful number, since it uses less digits than its factorization.

532142956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 532142956800 in words is "five hundred thirty-two billion, one hundred forty-two million, nine hundred fifty-six thousand, eight hundred".