91400085504000 has 4352 divisors, whose sum is σ = 439693922304000. Its totient is φ = 18193003315200.

The previous prime is 91400085503963. The next prime is 91400085504001. The reversal of 91400085504000 is 40558000419.

91400085504000 is a `hidden beast` number, since 9 + 140 + 0 + 0 + 8 + 5 + 504 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91400085504001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 382427135881 + ... + 382427136119.

Almost surely, 2^{91400085504000} is an apocalyptic number.

91400085504000 is a gapful number since it is divisible by the number (90) 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 91400085504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219846961152000).

91400085504000 is an abundant number, since it is smaller than the sum of its proper divisors (348293836800000).

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

91400085504000 is a wasteful number, since it uses less digits than its factorization.

91400085504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 91400085504000 in words is "ninety-one trillion, four hundred billion, eighty-five million, five hundred four thousand".