54242007456 has 648 divisors, whose sum is σ = 187935243552. Its totient is φ = 13649126400.

The previous prime is 54242007403. The next prime is 54242007461. The reversal of 54242007456 is 65470024245.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 763971901 + ... + 763971971.

It is an arithmetic number, because the mean of its divisors is an integer number (290023524).

Almost surely, 2^54242007456 is an apocalyptic number.

54242007456 is a gapful number since it is divisible by the number (56) 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 54242007456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93967621776).

54242007456 is an abundant number, since it is smaller than the sum of its proper divisors (133693236096).

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

54242007456 is a wasteful number, since it uses less digits than its factorization.

54242007456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 54242007456 in words is "fifty-four billion, two hundred forty-two million, seven thousand, four hundred fifty-six".