542089787904 has 960 divisors, whose sum is σ = 1939657104000. Its totient is φ = 148945305600.

The previous prime is 542089787893. The next prime is 542089787909. The reversal of 542089787904 is 409787980245.

542089787904 is a `hidden beast` number, since 542 + 0 + 8 + 9 + 7 + 87 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×542089787904² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542089787909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3638186422 + ... + 3638186570.

It is an arithmetic number, because the mean of its divisors is an integer number (2020476150).

Almost surely, 2^542089787904 is an apocalyptic number.

542089787904 is a gapful number since it is divisible by the number (54) 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 542089787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969828552000).

542089787904 is an abundant number, since it is smaller than the sum of its proper divisors (1397567316096).

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

542089787904 is a wasteful number, since it uses less digits than its factorization.

542089787904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 542089787904 in words is "five hundred forty-two billion, eighty-nine million, seven hundred eighty-seven thousand, nine hundred four".