82553840100 has 216 divisors, whose sum is σ = 267472325120. Its totient is φ = 21297297600.

The previous prime is 82553840087. The next prime is 82553840113. The reversal of 82553840100 is 104835528.

It is a happy number.

82553840100 is a `hidden beast` number, since 82 + 5 + 538 + 40 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82553840087) and next prime (82553840113).

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 71 ways as a sum of consecutive naturals, for example, 26810361 + ... + 26813439.

Almost surely, 2^82553840100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82553840100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133736162560).

82553840100 is an abundant number, since it is smaller than the sum of its proper divisors (184918485020).

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

82553840100 is a wasteful number, since it uses less digits than its factorization.

82553840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 82553840100 in words is "eighty-two billion, five hundred fifty-three million, eight hundred forty thousand, one hundred".