91401004800 has 1728 divisors, whose sum is σ = 417289958400. Its totient is φ = 19110297600.

The previous prime is 91401004789. The next prime is 91401004811. The reversal of 91401004800 is 840010419.

It is an interprime number because it is at equal distance from previous prime (91401004789) and next prime (91401004811).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 942278352 + ... + 942278448.

Almost surely, 2^91401004800 is an apocalyptic number.

91401004800 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 91401004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208644979200).

91401004800 is an abundant number, since it is smaller than the sum of its proper divisors (325888953600).

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

91401004800 is a wasteful number, since it uses less digits than its factorization.

91401004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 91401004800 in words is "ninety-one billion, four hundred one million, four thousand, eight hundred".