56614400501100 has 288 divisors, whose sum is σ = 178298769440064. Its totient is φ = 13787018035200.

The previous prime is 56614400501081. The next prime is 56614400501147. The reversal of 56614400501100 is 110500441665.

It is a super-2 number, since 2×56614400501100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136030924 + ... + 136446476.

Almost surely, 2^{56614400501100} is an apocalyptic number.

56614400501100 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 56614400501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89149384720032).

56614400501100 is an abundant number, since it is smaller than the sum of its proper divisors (121684368938964).

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

56614400501100 is a wasteful number, since it uses less digits than its factorization.

56614400501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415957 (or 415950 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 56614400501100 its reverse (110500441665), we get a palindrome (56724900942765).

The spelling of 56614400501100 in words is "fifty-six trillion, six hundred fourteen billion, four hundred million, five hundred one thousand, one hundred".