86433635312640 has 1056 divisors, whose sum is σ = 387220205159424. Its totient is φ = 17960216002560.

The previous prime is 86433635312627. The next prime is 86433635312671. The reversal of 86433635312640 is 4621353633468.

86433635312640 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 3 + 63 + 531 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

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, 95349207 + ... + 96251433.

Almost surely, 2^{86433635312640} is an apocalyptic number.

86433635312640 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 86433635312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193610102579712).

86433635312640 is an abundant number, since it is smaller than the sum of its proper divisors (300786569846784).

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

86433635312640 is a wasteful number, since it uses less digits than its factorization.

86433635312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902285 (or 902255 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 86433635312640 in words is "eighty-six trillion, four hundred thirty-three billion, six hundred thirty-five million, three hundred twelve thousand, six hundred forty".