20783957742000 has 480 divisors, whose sum is σ = 75177177192000. Its totient is φ = 5345386905600.

The previous prime is 20783957741983. The next prime is 20783957742017. The reversal of 20783957742000 is 24775938702.

20783957742000 is a `hidden beast` number, since 20 + 7 + 8 + 3 + 9 + 577 + 42 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20783957741983) and next prime (20783957742017).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484916571 + ... + 484959429.

It is an arithmetic number, because the mean of its divisors is an integer number (156619119150).

Almost surely, 2^{20783957742000} is an apocalyptic number.

20783957742000 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 20783957742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37588588596000).

20783957742000 is an abundant number, since it is smaller than the sum of its proper divisors (54393219450000).

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

20783957742000 is a wasteful number, since it uses less digits than its factorization.

20783957742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43846 (or 43827 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 20783957742000 in words is "twenty trillion, seven hundred eighty-three billion, nine hundred fifty-seven million, seven hundred forty-two thousand".