83206235750400 has 1848 divisors, whose sum is σ = 354720459098304. Its totient is φ = 18957415219200.

The previous prime is 83206235750357. The next prime is 83206235750483. The reversal of 83206235750400 is 405753260238.

83206235750400 is a `hidden beast` number, since 8 + 3 + 2 + 0 + 6 + 235 + 7 + 5 + 0 + 400 = 666.

It is a super-2 number, since 2×83206235750400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 267544166245 + ... + 267544166555.

Almost surely, 2^{83206235750400} is an apocalyptic number.

83206235750400 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 83206235750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177360229549152).

83206235750400 is an abundant number, since it is smaller than the sum of its proper divisors (271514223347904).

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

83206235750400 is an frugal number, since it uses more digits than its factorization.

83206235750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 83206235750400 in words is "eighty-three trillion, two hundred six billion, two hundred thirty-five million, seven hundred fifty thousand, four hundred".