22078477533840 has 1920 divisors, whose sum is σ = 91927991232000. Its totient is φ = 4332208914432.

The previous prime is 22078477533823. The next prime is 22078477533863. The reversal of 22078477533840 is 4833577487022.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 43376183506 + ... + 43376184014.

It is an arithmetic number, because the mean of its divisors is an integer number (47879162100).

Almost surely, 2^{22078477533840} is an apocalyptic number.

22078477533840 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 22078477533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45963995616000).

22078477533840 is an abundant number, since it is smaller than the sum of its proper divisors (69849513698160).

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

22078477533840 is a wasteful number, since it uses less digits than its factorization.

22078477533840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 60.

The spelling of 22078477533840 in words is "twenty-two trillion, seventy-eight billion, four hundred seventy-seven million, five hundred thirty-three thousand, eight hundred forty".