21877468692480 has 920 divisors, whose sum is σ = 80243535514032. Its totient is φ = 5723916337152.

The previous prime is 21877468692463. The next prime is 21877468692551. The reversal of 21877468692480 is 8429686477812.

21877468692480 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 7 + 468 + 69 + 24 + 80 = 666.

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 = 21877468692399 and 21877468692408.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 412782428134 + ... + 412782428186.

Almost surely, 2^{21877468692480} is an apocalyptic number.

21877468692480 is a gapful number since it is divisible by the number (20) 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 21877468692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40121767757016).

21877468692480 is an abundant number, since it is smaller than the sum of its proper divisors (58366066821552).

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

21877468692480 is an frugal number, since it uses more digits than its factorization.

21877468692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 21877468692480 in words is "twenty-one trillion, eight hundred seventy-seven billion, four hundred sixty-eight million, six hundred ninety-two thousand, four hundred eighty".