91260149254400 has 324 divisors, whose sum is σ = 271238229642240. Its totient is φ = 30279861964800.

The previous prime is 91260149254331. The next prime is 91260149254409. The reversal of 91260149254400 is 445294106219.

It is not an unprimeable number, because it can be changed into a prime (91260149254409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5027921 + ... + 14415279.

It is an arithmetic number, because the mean of its divisors is an integer number (837155029760).

Almost surely, 2^{91260149254400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91260149254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135619114821120).

91260149254400 is an abundant number, since it is smaller than the sum of its proper divisors (179978080387840).

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

91260149254400 is a wasteful number, since it uses less digits than its factorization.

91260149254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387430 (or 9387404 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 91260149254400 in words is "ninety-one trillion, two hundred sixty billion, one hundred forty-nine million, two hundred fifty-four thousand, four hundred".