83481300761040 has 1920 divisors, whose sum is σ = 370849069473792. Its totient is φ = 16356503715840.

The previous prime is 83481300761039. The next prime is 83481300761119. The reversal of 83481300761040 is 4016700318438.

83481300761040 is a `hidden beast` number, since 8 + 348 + 130 + 0 + 76 + 104 + 0 = 666.

83481300761040 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5486047512 + ... + 5486062728.

Almost surely, 2^{83481300761040} is an apocalyptic number.

83481300761040 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 83481300761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185424534736896).

83481300761040 is an abundant number, since it is smaller than the sum of its proper divisors (287367768712752).

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

83481300761040 is a wasteful number, since it uses less digits than its factorization.

83481300761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15397 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 83481300761040 in words is "eighty-three trillion, four hundred eighty-one billion, three hundred million, seven hundred sixty-one thousand, forty".