83625467904000 has 3808 divisors, whose sum is σ = 364730034389760. Its totient is φ = 18919194624000.

The previous prime is 83625467903959. The next prime is 83625467904001. The reversal of 83625467904000 is 40976452638.

83625467904000 is a `hidden beast` number, since 8 + 3 + 6 + 2 + 546 + 7 + 90 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83625467904001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1248141311967 + ... + 1248141312033.

Almost surely, 2^{83625467904000} is an apocalyptic number.

83625467904000 is a gapful number since it is divisible by the number (80) 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 83625467904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182365017194880).

83625467904000 is an abundant number, since it is smaller than the sum of its proper divisors (281104566485760).

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

83625467904000 is an frugal number, since it uses more digits than its factorization.

83625467904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 83625467904000 in words is "eighty-three trillion, six hundred twenty-five billion, four hundred sixty-seven million, nine hundred four thousand".