83037428121600 has 2160 divisors, whose sum is σ = 329784857001600. Its totient is φ = 20690082201600.

The previous prime is 83037428121559. The next prime is 83037428121689. The reversal of 83037428121600 is 612182473038.

83037428121600 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 7 + 4 + 28 + 12 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2678626713585 + ... + 2678626713615.

Almost surely, 2^{83037428121600} is an apocalyptic number.

83037428121600 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 83037428121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164892428500800).

83037428121600 is an abundant number, since it is smaller than the sum of its proper divisors (246747428880000).

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

83037428121600 is an frugal number, since it uses more digits than its factorization.

83037428121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 70 counting only the distinct ones).

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

The spelling of 83037428121600 in words is "eighty-three trillion, thirty-seven billion, four hundred twenty-eight million, one hundred twenty-one thousand, six hundred".