21034087254400 has 768 divisors, whose sum is σ = 62683912972800. Its totient is φ = 6891315200000.

The previous prime is 21034087254373. The next prime is 21034087254559. The reversal of 21034087254400 is 445278043012.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 962603475 + ... + 962625325.

It is an arithmetic number, because the mean of its divisors is an integer number (81619678350).

Almost surely, 2^{21034087254400} is an apocalyptic number.

21034087254400 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 21034087254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31341956486400).

21034087254400 is an abundant number, since it is smaller than the sum of its proper divisors (41649825718400).

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

21034087254400 is a wasteful number, since it uses less digits than its factorization.

21034087254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21979 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 21034087254400 in words is "twenty-one trillion, thirty-four billion, eighty-seven million, two hundred fifty-four thousand, four hundred".