82944612689400 has 1536 divisors, whose sum is σ = 368026730496000. Its totient is φ = 16663781376000.

The previous prime is 82944612689387. The next prime is 82944612689413. The reversal of 82944612689400 is 498621644928.

82944612689400 is a `hidden beast` number, since 8 + 2 + 9 + 4 + 4 + 612 + 6 + 8 + 9 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82944612689387) and next prime (82944612689413).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18161725917 + ... + 18161730483.

It is an arithmetic number, because the mean of its divisors is an integer number (239600736000).

Almost surely, 2^{82944612689400} 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 82944612689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184013365248000).

82944612689400 is an abundant number, since it is smaller than the sum of its proper divisors (285082117806600).

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

82944612689400 is a wasteful number, since it uses less digits than its factorization.

82944612689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 82944612689400 in words is "eighty-two trillion, nine hundred forty-four billion, six hundred twelve million, six hundred eighty-nine thousand, four hundred".