82630557000 has 256 divisors, whose sum is σ = 303304435200. Its totient is φ = 20738534400.

The previous prime is 82630556969. The next prime is 82630557011. The reversal of 82630557000 is 75503628.

82630557000 is a `hidden beast` number, since 82 + 6 + 3 + 0 + 5 + 570 + 0 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 368989 + ... + 549011.

It is an arithmetic number, because the mean of its divisors is an integer number (1184782950).

Almost surely, 2^82630557000 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 82630557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151652217600).

82630557000 is an abundant number, since it is smaller than the sum of its proper divisors (220673878200).

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

82630557000 is a wasteful number, since it uses less digits than its factorization.

82630557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180070 (or 180050 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 82630557000 in words is "eighty-two billion, six hundred thirty million, five hundred fifty-seven thousand".