83615720400 has 180 divisors, whose sum is σ = 295088657760. Its totient is φ = 21919545600.

The previous prime is 83615720381. The next prime is 83615720423. The reversal of 83615720400 is 402751638.

83615720400 is a `hidden beast` number, since 83 + 6 + 1 + 572 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15565 + ... + 409235.

It is an arithmetic number, because the mean of its divisors is an integer number (1639381432).

Almost surely, 2^83615720400 is an apocalyptic number.

83615720400 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 83615720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147544328880).

83615720400 is an abundant number, since it is smaller than the sum of its proper divisors (211472937360).

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

83615720400 is a wasteful number, since it uses less digits than its factorization.

83615720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393754 (or 393740 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 83615720400 in words is "eighty-three billion, six hundred fifteen million, seven hundred twenty thousand, four hundred".