21454767408000 has 256 divisors, whose sum is σ = 71166526928640. Its totient is φ = 5717734041600.

The previous prime is 21454767407963. The next prime is 21454767408077. The reversal of 21454767408000 is 80476745412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77958639 + ... + 78233361.

It is an arithmetic number, because the mean of its divisors is an integer number (277994245815).

Almost surely, 2^{21454767408000} is an apocalyptic number.

21454767408000 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 21454767408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35583263464320).

21454767408000 is an abundant number, since it is smaller than the sum of its proper divisors (49711759520640).

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

21454767408000 is a wasteful number, since it uses less digits than its factorization.

21454767408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276382 (or 276360 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 21454767408000 in words is "twenty-one trillion, four hundred fifty-four billion, seven hundred sixty-seven million, four hundred eight thousand".