90265781301696 has 1344 divisors, whose sum is σ = 359836999603200. Its totient is φ = 21591275397120.

The previous prime is 90265781301691. The next prime is 90265781301737. The reversal of 90265781301696 is 69610318756209.

90265781301696 is a `hidden beast` number, since 9 + 0 + 26 + 578 + 1 + 30 + 1 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×90265781301696² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90265781301691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8428959190 + ... + 8428969898.

It is an arithmetic number, because the mean of its divisors is an integer number (267735862800).

Almost surely, 2^{90265781301696} is an apocalyptic number.

90265781301696 is a gapful number since it is divisible by the number (96) 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 90265781301696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179918499801600).

90265781301696 is an abundant number, since it is smaller than the sum of its proper divisors (269571218301504).

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

90265781301696 is a wasteful number, since it uses less digits than its factorization.

90265781301696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 90265781301696 in words is "ninety trillion, two hundred sixty-five billion, seven hundred eighty-one million, three hundred one thousand, six hundred ninety-six".