90561751980 has 288 divisors, whose sum is σ = 301277200896. Its totient is φ = 20261412864.

The previous prime is 90561751967. The next prime is 90561752069. The reversal of 90561751980 is 8915716509.

It is a super-3 number, since 3×90561751980³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32894284 + ... + 32897036.

It is an arithmetic number, because the mean of its divisors is an integer number (1046101392).

Almost surely, 2^90561751980 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 90561751980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150638600448).

90561751980 is an abundant number, since it is smaller than the sum of its proper divisors (210715448916).

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

90561751980 is a wasteful number, since it uses less digits than its factorization.

90561751980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 51.

The spelling of 90561751980 in words is "ninety billion, five hundred sixty-one million, seven hundred fifty-one thousand, nine hundred eighty".