83093250240 has 2688 divisors, whose sum is σ = 424972154880. Its totient is φ = 14332723200.

The previous prime is 83093250223. The next prime is 83093250283. The reversal of 83093250240 is 4205239038.

83093250240 is a `hidden beast` number, since 8 + 309 + 325 + 0 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83093250195 and 83093250204.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2026664620 + ... + 2026664660.

It is an arithmetic number, because the mean of its divisors is an integer number (158099760).

Almost surely, 2^83093250240 is an apocalyptic number.

83093250240 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 83093250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486077440).

83093250240 is an abundant number, since it is smaller than the sum of its proper divisors (341878904640).

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

83093250240 is a wasteful number, since it uses less digits than its factorization.

83093250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 83093250240 its reverse (4205239038), we get a palindrome (87298489278).

It can be divided in two parts, 83093 and 250240, that added together give a palindrome (333333).

The spelling of 83093250240 in words is "eighty-three billion, ninety-three million, two hundred fifty thousand, two hundred forty".