9420977549880 has 1024 divisors, whose sum is σ = 36222100992000. Its totient is φ = 2159875694592.

The previous prime is 9420977549833. The next prime is 9420977549891. The reversal of 9420977549880 is 889457790249.

9420977549880 is a `hidden beast` number, since 9 + 4 + 2 + 0 + 9 + 77 + 549 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×9420977549880³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9420977549799 and 9420977549808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5512566466 + ... + 5512568174.

It is an arithmetic number, because the mean of its divisors is an integer number (35373145500).

Almost surely, 2^{9420977549880} is an apocalyptic number.

9420977549880 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 9420977549880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111050496000).

9420977549880 is an abundant number, since it is smaller than the sum of its proper divisors (26801123442120).

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

9420977549880 is a wasteful number, since it uses less digits than its factorization.

9420977549880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 9420977549880 in words is "nine trillion, four hundred twenty billion, nine hundred seventy-seven million, five hundred forty-nine thousand, eight hundred eighty".