86477414400 has 840 divisors, whose sum is σ = 345855418524. Its totient is φ = 21233664000.

The previous prime is 86477414381. The next prime is 86477414417. The reversal of 86477414400 is 441477468.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 43717791744 + 42759622656 = 209088^2 + 206784^2 .

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 59 ways as a sum of consecutive naturals, for example, 215654200 + ... + 215654600.

Almost surely, 2^86477414400 is an apocalyptic number.

86477414400 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 86477414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172927709262).

86477414400 is an abundant number, since it is smaller than the sum of its proper divisors (259378004124).

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

86477414400 is a wasteful number, since it uses less digits than its factorization.

86477414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 86477414400 in words is "eighty-six billion, four hundred seventy-seven million, four hundred fourteen thousand, four hundred".