5462355820800 has 432 divisors, whose sum is σ = 18687415303872. Its totient is φ = 1403994931200.

The previous prime is 5462355820783. The next prime is 5462355820807. The reversal of 5462355820800 is 80285532645.

It is a super-2 number, since 2×5462355820800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5462355820800.

It is not an unprimeable number, because it can be changed into a prime (5462355820807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75976870 + ... + 76048730.

It is an arithmetic number, because the mean of its divisors is an integer number (43257905796).

Almost surely, 2^{5462355820800} is an apocalyptic number.

5462355820800 is a gapful number since it is divisible by the number (50) 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 5462355820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343707651936).

5462355820800 is an abundant number, since it is smaller than the sum of its proper divisors (13225059483072).

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

5462355820800 is a wasteful number, since it uses less digits than its factorization.

5462355820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72034 (or 72015 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 5462355820800 in words is "five trillion, four hundred sixty-two billion, three hundred fifty-five million, eight hundred twenty thousand, eight hundred".