5497878790800 has 1080 divisors, whose sum is σ = 22075791829728. Its totient is φ = 1312738099200.

The previous prime is 5497878790783. The next prime is 5497878790819. The reversal of 5497878790800 is 80978787945.

5497878790800 is a `hidden beast` number, since 549 + 7 + 8 + 7 + 8 + 79 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 787996912 + ... + 788003888.

Almost surely, 2^{5497878790800} is an apocalyptic number.

5497878790800 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 5497878790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037895914864).

5497878790800 is an abundant number, since it is smaller than the sum of its proper divisors (16577913038928).

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

5497878790800 is a wasteful number, since it uses less digits than its factorization.

5497878790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 5497878790800 in words is "five trillion, four hundred ninety-seven billion, eight hundred seventy-eight million, seven hundred ninety thousand, eight hundred".