83897510400 has 960 divisors, whose sum is σ = 347980406400. Its totient is φ = 19611648000.

The previous prime is 83897510377. The next prime is 83897510413. The reversal of 83897510400 is 401579838.

83897510400 is a `hidden beast` number, since 8 + 3 + 8 + 97 + 510 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 110246020 + ... + 110246780.

It is an arithmetic number, because the mean of its divisors is an integer number (362479590).

Almost surely, 2^83897510400 is an apocalyptic number.

83897510400 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 83897510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173990203200).

83897510400 is an abundant number, since it is smaller than the sum of its proper divisors (264082896000).

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

83897510400 is a wasteful number, since it uses less digits than its factorization.

83897510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 83897510400 in words is "eighty-three billion, eight hundred ninety-seven million, five hundred ten thousand, four hundred".