54216214362072 has 768 divisors, whose sum is σ = 183262360320000. Its totient is φ = 14843109980160.

The previous prime is 54216214362071. The next prime is 54216214362109. The reversal of 54216214362072 is 27026341261245.

54216214362072 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 6 + 2 + 1 + 436 + 207 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54216214362071) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7333448808 + ... + 7333456200.

It is an arithmetic number, because the mean of its divisors is an integer number (238622865000).

Almost surely, 2^{54216214362072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54216214362072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91631180160000).

54216214362072 is an abundant number, since it is smaller than the sum of its proper divisors (129046145957928).

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

54216214362072 is a wasteful number, since it uses less digits than its factorization.

54216214362072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7594 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54216214362072 in words is "fifty-four trillion, two hundred sixteen billion, two hundred fourteen million, three hundred sixty-two thousand, seventy-two".