53645552100 has 576 divisors, whose sum is σ = 204106936320. Its totient is φ = 11832652800.

The previous prime is 53645552083. The next prime is 53645552131. The reversal of 53645552100 is 125554635.

53645552100 is a `hidden beast` number, since 5 + 3 + 645 + 5 + 5 + 2 + 1 + 0 + 0 = 666.

53645552100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53645552100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82913977 + ... + 82914623.

It is an arithmetic number, because the mean of its divisors is an integer number (354352320).

Almost surely, 2^53645552100 is an apocalyptic number.

53645552100 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 53645552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102053468160).

53645552100 is an abundant number, since it is smaller than the sum of its proper divisors (150461384220).

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

53645552100 is a wasteful number, since it uses less digits than its factorization.

53645552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 53645552100 in words is "fifty-three billion, six hundred forty-five million, five hundred fifty-two thousand, one hundred".