91355562829440 has 1536 divisors, whose sum is σ = 395792083814400. Its totient is φ = 18904540741632.

The previous prime is 91355562829423. The next prime is 91355562829481. The reversal of 91355562829440 is 4492826555319.

91355562829440 is a `hidden beast` number, since 9 + 1 + 3 + 5 + 5 + 562 + 8 + 29 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6047226367 + ... + 6047241473.

It is an arithmetic number, because the mean of its divisors is an integer number (257677137900).

Almost surely, 2^{91355562829440} is an apocalyptic number.

91355562829440 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 91355562829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197896041907200).

91355562829440 is an abundant number, since it is smaller than the sum of its proper divisors (304436520984960).

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

91355562829440 is a wasteful number, since it uses less digits than its factorization.

91355562829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15374 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 91355562829440 in words is "ninety-one trillion, three hundred fifty-five billion, five hundred sixty-two million, eight hundred twenty-nine thousand, four hundred forty".