13404584958900 has 72 divisors (see below), whose sum is σ = 38834897574144. Its totient is φ = 3569858745600.

The previous prime is 13404584958887. The next prime is 13404584958907. The reversal of 13404584958900 is 985948540431.

It is a super-2 number, since 2×13404584958900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404584958907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29129092 + ... + 29585691.

Almost surely, 2^{13404584958900} is an apocalyptic number.

13404584958900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13404584958900 is an abundant number, since it is smaller than the sum of its proper divisors (25430312615244).

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

13404584958900 is a wasteful number, since it uses less digits than its factorization.

13404584958900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58715561 (or 58715554 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 13404584958900 in words is "thirteen trillion, four hundred four billion, five hundred eighty-four million, nine hundred fifty-eight thousand, nine hundred".