90451656720 has 240 divisors, whose sum is σ = 319010415360. Its totient is φ = 23814715392.

The previous prime is 90451656703. The next prime is 90451656769. The reversal of 90451656720 is 2765615409.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×90451656720³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506312 + ... + 1565208.

It is an arithmetic number, because the mean of its divisors is an integer number (1329210064).

Almost surely, 2^90451656720 is an apocalyptic number.

90451656720 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 90451656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159505207680).

90451656720 is an abundant number, since it is smaller than the sum of its proper divisors (228558758640).

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

90451656720 is a wasteful number, since it uses less digits than its factorization.

90451656720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59004 (or 58986 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 90451656720 in words is "ninety billion, four hundred fifty-one million, six hundred fifty-six thousand, seven hundred twenty".