5536097280000 has 1400 divisors, whose sum is σ = 23631875654112. Its totient is φ = 1264730112000.

The previous prime is 5536097279971. The next prime is 5536097280001. The reversal of 5536097280000 is 827906355.

It is a happy number.

5536097280000 is a `hidden beast` number, since 5 + 5 + 360 + 9 + 7 + 280 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5536097280001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2903039047 + ... + 2903040953.

Almost surely, 2^{5536097280000} is an apocalyptic number.

5536097280000 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 5536097280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815937827056).

5536097280000 is an abundant number, since it is smaller than the sum of its proper divisors (18095778374112).

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

5536097280000 is an frugal number, since it uses more digits than its factorization.

5536097280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5536097280000 in words is "five trillion, five hundred thirty-six billion, ninety-seven million, two hundred eighty thousand".