91378701735552 has 1152 divisors, whose sum is σ = 343844487168000. Its totient is φ = 23645298124800.

The previous prime is 91378701735491. The next prime is 91378701735553. The reversal of 91378701735552 is 25553710787319.

It is a happy number.

91378701735552 is a `hidden beast` number, since 9 + 1 + 3 + 7 + 8 + 7 + 0 + 1 + 73 + 5 + 552 = 666.

91378701735552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 91378701735552.

It is not an unprimeable number, because it can be changed into a prime (91378701735553) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7139512449 + ... + 7139525247.

Almost surely, 2^{91378701735552} 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 91378701735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171922243584000).

91378701735552 is an abundant number, since it is smaller than the sum of its proper divisors (252465785432448).

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

91378701735552 is a wasteful number, since it uses less digits than its factorization.

91378701735552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13128 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 63.

The spelling of 91378701735552 in words is "ninety-one trillion, three hundred seventy-eight billion, seven hundred one million, seven hundred thirty-five thousand, five hundred fifty-two".