90078130080 has 480 divisors, whose sum is σ = 326020464000. Its totient is φ = 23413598208.

The previous prime is 90078130049. The next prime is 90078130127. The reversal of 90078130080 is 8003187009.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×90078130080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136688791 + ... + 136689449.

It is an arithmetic number, because the mean of its divisors is an integer number (679209300).

Almost surely, 2^90078130080 is an apocalyptic number.

90078130080 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 90078130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163010232000).

90078130080 is an abundant number, since it is smaller than the sum of its proper divisors (235942333920).

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

90078130080 is a wasteful number, since it uses less digits than its factorization.

90078130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 90078130080 in words is "ninety billion, seventy-eight million, one hundred thirty thousand, eighty".