52054457361984 has 672 divisors, whose sum is σ = 194396140283904. Its totient is φ = 12913676328960.

The previous prime is 52054457361983. The next prime is 52054457362043. The reversal of 52054457361984 is 48916375445025.

It is a happy number.

52054457361984 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 4 + 4 + 5 + 7 + 3 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×52054457361984² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (52054457361983) 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, 696688212 + ... + 696762924.

It is a 1-persistent number, because it is pandigital, but 2⋅52054457361984 = 104108914723968 is not.

Almost surely, 2^{52054457361984} 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 52054457361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97198070141952).

52054457361984 is an abundant number, since it is smaller than the sum of its proper divisors (142341682921920).

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

52054457361984 is a wasteful number, since it uses less digits than its factorization.

52054457361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75455 (or 75442 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 52054457361984 in words is "fifty-two trillion, fifty-four billion, four hundred fifty-seven million, three hundred sixty-one thousand, nine hundred eighty-four".