20534397017400 has 864 divisors, whose sum is σ = 81667542228480. Its totient is φ = 4528577088000.

The previous prime is 20534397017341. The next prime is 20534397017423. The reversal of 20534397017400 is 471079343502.

20534397017400 is a `hidden beast` number, since 2 + 0 + 534 + 3 + 9 + 70 + 1 + 7 + 40 + 0 = 666.

It is a super-2 number, since 2×20534397017400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1976166205 + ... + 1976176595.

It is an arithmetic number, because the mean of its divisors is an integer number (94522618320).

Almost surely, 2^{20534397017400} is an apocalyptic number.

20534397017400 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 20534397017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40833771114240).

20534397017400 is an abundant number, since it is smaller than the sum of its proper divisors (61133145211080).

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

20534397017400 is a wasteful number, since it uses less digits than its factorization.

20534397017400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 20534397017400 in words is "twenty trillion, five hundred thirty-four billion, three hundred ninety-seven million, seventeen thousand, four hundred".