83912561744400 has 225 divisors, whose sum is σ = 301161368149213. Its totient is φ = 22376243433600.

The previous prime is 83912561744377. The next prime is 83912561744419. The reversal of 83912561744400 is 444716521938.

The square root of 83912561744400 is 9160380.

It is a perfect power (a square), and thus also a powerful number.

83912561744400 is a `hidden beast` number, since 8 + 3 + 9 + 1 + 2 + 561 + 74 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30208522227984 + 53704039516416 = 5496228^2 + 7328304^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1648842955 + ... + 1648893845.

It is a 1-persistent number, because it is pandigital, but 2⋅83912561744400 = 167825123488800 is not.

Almost surely, 2^{83912561744400} is an apocalyptic number.

83912561744400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83912561744400 is the 9160380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83912561744400

83912561744400 is an abundant number, since it is smaller than the sum of its proper divisors (217248806404813).

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

83912561744400 is an frugal number, since it uses more digits than its factorization.

83912561744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101812 (or 50901 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 83912561744400 in words is "eighty-three trillion, nine hundred twelve billion, five hundred sixty-one million, seven hundred forty-four thousand, four hundred".