542252863152000 has 8192 divisors, whose sum is σ = 2758810237747200. Its totient is φ = 102335643648000.

The previous prime is 542252863151969. The next prime is 542252863152001. The reversal of 542252863152000 is 251368252245.

542252863152000 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 5 + 2 + 8 + 631 + 5 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542252863152001) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 3958050095932 + ... + 3958050096068.

It is an arithmetic number, because the mean of its divisors is an integer number (336768827850).

Almost surely, 2^{542252863152000} is an apocalyptic number.

542252863152000 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 542252863152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379405118873600).

542252863152000 is an abundant number, since it is smaller than the sum of its proper divisors (2216557374595200).

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

542252863152000 is a wasteful number, since it uses less digits than its factorization.

542252863152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 542252863152000 in words is "five hundred forty-two trillion, two hundred fifty-two billion, eight hundred sixty-three million, one hundred fifty-two thousand".