91954656000 has 576 divisors, whose sum is σ = 344373120000. Its totient is φ = 24159744000.

The previous prime is 91954655999. The next prime is 91954656007. The reversal of 91954656000 is 65645919.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (91954656007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61343251 + ... + 61344749.

It is an arithmetic number, because the mean of its divisors is an integer number (597870000).

Almost surely, 2^91954656000 is an apocalyptic number.

91954656000 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 91954656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172186560000).

91954656000 is an abundant number, since it is smaller than the sum of its proper divisors (252418464000).

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

91954656000 is a wasteful number, since it uses less digits than its factorization.

91954656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 91954656000 in words is "ninety-one billion, nine hundred fifty-four million, six hundred fifty-six thousand".