85958154240 has 192 divisors, whose sum is σ = 314285287680. Its totient is φ = 19647528960.

The previous prime is 85958154203. The next prime is 85958154257. The reversal of 85958154240 is 4245185958.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15175 + ... + 414905.

It is an arithmetic number, because the mean of its divisors is an integer number (1636902540).

Almost surely, 2^85958154240 is an apocalyptic number.

85958154240 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 85958154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157142643840).

85958154240 is an abundant number, since it is smaller than the sum of its proper divisors (228327133440).

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

85958154240 is a wasteful number, since it uses less digits than its factorization.

85958154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399768 (or 399748 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 51.

The spelling of 85958154240 in words is "eighty-five billion, nine hundred fifty-eight million, one hundred fifty-four thousand, two hundred forty".