5462010537984 has 2880 divisors, whose sum is σ = 23078999623680. Its totient is φ = 1264146186240.

The previous prime is 5462010537983. The next prime is 5462010538003. The reversal of 5462010537984 is 4897350102645.

It is a happy number.

5462010537984 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 0 + 10 + 537 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5462010537984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462010537983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43007956929 + ... + 43007957055.

It is an arithmetic number, because the mean of its divisors is an integer number (8013541536).

It is a 1-persistent number, because it is pandigital, but 2⋅5462010537984 = 10924021075968 is not.

Almost surely, 2^{5462010537984} is an apocalyptic number.

5462010537984 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 5462010537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539499811840).

5462010537984 is an abundant number, since it is smaller than the sum of its proper divisors (17616989085696).

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

5462010537984 is a wasteful number, since it uses less digits than its factorization.

5462010537984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5462010537984 in words is "five trillion, four hundred sixty-two billion, ten million, five hundred thirty-seven thousand, nine hundred eighty-four".