20783904863400 has 1536 divisors, whose sum is σ = 85749940224000. Its totient is φ = 4526930903040.

The previous prime is 20783904863377. The next prime is 20783904863401. The reversal of 20783904863400 is 436840938702.

20783904863400 is a `hidden beast` number, since 2 + 0 + 78 + 3 + 90 + 4 + 86 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20783904863401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46916263579 + ... + 46916264021.

It is an arithmetic number, because the mean of its divisors is an integer number (55826784000).

Almost surely, 2^{20783904863400} is an apocalyptic number.

20783904863400 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 20783904863400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42874970112000).

20783904863400 is an abundant number, since it is smaller than the sum of its proper divisors (64966035360600).

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

20783904863400 is a wasteful number, since it uses less digits than its factorization.

20783904863400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 20783904863400 in words is "twenty trillion, seven hundred eighty-three billion, nine hundred four million, eight hundred sixty-three thousand, four hundred".