91910894400 has 840 divisors, whose sum is σ = 385350882840. Its totient is φ = 21286748160.

The previous prime is 91910894393. The next prime is 91910894401. The reversal of 91910894400 is 449801919.

It can be written as a sum of positive squares in 12 ways, for example, as 25136199936 + 66774694464 = 158544^2 + 258408^2 .

It is a super-2 number, since 2×91910894400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91910894401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28639996 + ... + 28643204.

It is an arithmetic number, because the mean of its divisors is an integer number (458751051).

Almost surely, 2^91910894400 is an apocalyptic number.

91910894400 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 91910894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192675441420).

91910894400 is an abundant number, since it is smaller than the sum of its proper divisors (293439988440).

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

91910894400 is a wasteful number, since it uses less digits than its factorization.

91910894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

It can be divided in two parts, 91910 and 894400, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 91910894400 in words is "ninety-one billion, nine hundred ten million, eight hundred ninety-four thousand, four hundred".