5542882464000 has 1152 divisors, whose sum is σ = 22568836792320. Its totient is φ = 1177473024000.

The previous prime is 5542882463971. The next prime is 5542882464037. The reversal of 5542882464000 is 4642882455.

It is a super-2 number, since 2×5542882464000² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 676699905 + ... + 676708095.

It is an arithmetic number, because the mean of its divisors is an integer number (19591004160).

Almost surely, 2^{5542882464000} is an apocalyptic number.

5542882464000 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 5542882464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284418396160).

5542882464000 is an abundant number, since it is smaller than the sum of its proper divisors (17025954328320).

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

5542882464000 is a wasteful number, since it uses less digits than its factorization.

5542882464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 5542882464000 in words is "five trillion, five hundred forty-two billion, eight hundred eighty-two million, four hundred sixty-four thousand".