91019201126400 has 1344 divisors, whose sum is σ = 341839321359360. Its totient is φ = 23736582144000.

The previous prime is 91019201126383. The next prime is 91019201126411. The reversal of 91019201126400 is 462110291019.

It is a happy number.

91019201126400 is a `hidden beast` number, since 9 + 1 + 0 + 1 + 9 + 2 + 0 + 1 + 1 + 2 + 640 + 0 = 666.

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

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, 55942962387 + ... + 55942964013.

Almost surely, 2^{91019201126400} is an apocalyptic number.

91019201126400 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 91019201126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170919660679680).

91019201126400 is an abundant number, since it is smaller than the sum of its proper divisors (250820120232960).

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

91019201126400 is a wasteful number, since it uses less digits than its factorization.

91019201126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 91019201126400 in words is "ninety-one trillion, nineteen billion, two hundred one million, one hundred twenty-six thousand, four hundred".