81137084279040 has 288 divisors, whose sum is σ = 300442394730240. Its totient is φ = 20695835787264.

The previous prime is 81137084279039. The next prime is 81137084279093. The reversal of 81137084279040 is 4097248073118.

81137084279040 is a `hidden beast` number, since 81 + 13 + 7 + 0 + 8 + 427 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50242437 + ... + 51832196.

It is an arithmetic number, because the mean of its divisors is an integer number (1043202759480).

Almost surely, 2^{81137084279040} is an apocalyptic number.

81137084279040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81137084279040 is an abundant number, since it is smaller than the sum of its proper divisors (219305310451200).

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

81137084279040 is a wasteful number, since it uses less digits than its factorization.

81137084279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102074686 (or 102074666 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 81137084279040 in words is "eighty-one trillion, one hundred thirty-seven billion, eighty-four million, two hundred seventy-nine thousand, forty".