81250484371200 has 648 divisors, whose sum is σ = 291551743619136. Its totient is φ = 21587668992000.

The previous prime is 81250484371171. The next prime is 81250484371211. The reversal of 81250484371200 is 217348405218.

81250484371200 is a `hidden beast` number, since 8 + 1 + 2 + 5 + 0 + 4 + 8 + 437 + 1 + 200 = 666.

81250484371200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 21800503737 + ... + 21800507463.

Almost surely, 2^{81250484371200} is an apocalyptic number.

81250484371200 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 81250484371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145775871809568).

81250484371200 is an abundant number, since it is smaller than the sum of its proper divisors (210301259247936).

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

81250484371200 is a wasteful number, since it uses less digits than its factorization.

81250484371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 81250484371200 in words is "eighty-one trillion, two hundred fifty billion, four hundred eighty-four million, three hundred seventy-one thousand, two hundred".