21877447893840 has 1920 divisors, whose sum is σ = 97869250252800. Its totient is φ = 4363640709120.

The previous prime is 21877447893839. The next prime is 21877447893853. The reversal of 21877447893840 is 4839874477812.

21877447893840 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 74 + 478 + 9 + 3 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32031402139 + ... + 32031402821.

It is an arithmetic number, because the mean of its divisors is an integer number (50973567840).

Almost surely, 2^{21877447893840} is an apocalyptic number.

21877447893840 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 21877447893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48934625126400).

21877447893840 is an abundant number, since it is smaller than the sum of its proper divisors (75991802358960).

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

21877447893840 is a wasteful number, since it uses less digits than its factorization.

21877447893840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 21877447893840 in words is "twenty-one trillion, eight hundred seventy-seven billion, four hundred forty-seven million, eight hundred ninety-three thousand, eight hundred forty".