542225610000 has 600 divisors, whose sum is σ = 2052980460960. Its totient is φ = 136958688000.

The previous prime is 542225609993. The next prime is 542225610061. The reversal of 542225610000 is 16522245.

542225610000 is a `hidden beast` number, since 5 + 4 + 22 + 25 + 610 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×542225610000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97467219 + ... + 97472781.

Almost surely, 2^542225610000 is an apocalyptic number.

542225610000 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 542225610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026490230480).

542225610000 is an abundant number, since it is smaller than the sum of its proper divisors (1510754850960).

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

542225610000 is a wasteful number, since it uses less digits than its factorization.

542225610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 542225610000 in words is "five hundred forty-two billion, two hundred twenty-five million, six hundred ten thousand".