90495270645120 has 960 divisors, whose sum is σ = 356705281991520. Its totient is φ = 21846852403200.

The previous prime is 90495270645119. The next prime is 90495270645121. The reversal of 90495270645120 is 2154607259409.

It is a happy number.

90495270645120 is a `hidden beast` number, since 9 + 0 + 4 + 9 + 52 + 70 + 6 + 4 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90495270645119) and next prime (90495270645121).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90495270645121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1511676309 + ... + 1511736171.

Almost surely, 2^{90495270645120} is an apocalyptic number.

90495270645120 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 90495270645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178352640995760).

90495270645120 is an abundant number, since it is smaller than the sum of its proper divisors (266210011346400).

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

90495270645120 is a wasteful number, since it uses less digits than its factorization.

90495270645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60157 (or 60125 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 90495270645120 in words is "ninety trillion, four hundred ninety-five billion, two hundred seventy million, six hundred forty-five thousand, one hundred twenty".