91971069120 has 336 divisors, whose sum is σ = 367666341120. Its totient is φ = 20665387008.

The previous prime is 91971069109. The next prime is 91971069131. The reversal of 91971069120 is 2196017919.

It is an interprime number because it is at equal distance from previous prime (91971069109) and next prime (91971069131).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×91971069120³ (a number of 34 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1150779 + ... + 1228101.

Almost surely, 2^91971069120 is an apocalyptic number.

91971069120 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 91971069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183833170560).

91971069120 is an abundant number, since it is smaller than the sum of its proper divisors (275695272000).

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

91971069120 is a wasteful number, since it uses less digits than its factorization.

91971069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77412 (or 77399 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 91971069120 in words is "ninety-one billion, nine hundred seventy-one million, sixty-nine thousand, one hundred twenty".