21300152024340 has 384 divisors, whose sum is σ = 79741029580800. Its totient is φ = 4611139384320.

The previous prime is 21300152024267. The next prime is 21300152024341. The reversal of 21300152024340 is 4342025100312.

21300152024340 is a `hidden beast` number, since 2 + 1 + 300 + 15 + 2 + 0 + 2 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300152024341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 284872560 + ... + 284947320.

It is an arithmetic number, because the mean of its divisors is an integer number (207658931200).

Almost surely, 2^{21300152024340} is an apocalyptic number.

21300152024340 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 21300152024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39870514790400).

21300152024340 is an abundant number, since it is smaller than the sum of its proper divisors (58440877556460).

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

21300152024340 is a wasteful number, since it uses less digits than its factorization.

21300152024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78772 (or 78764 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 21300152024340 its reverse (4342025100312), we get a palindrome (25642177124652).

The spelling of 21300152024340 in words is "twenty-one trillion, three hundred billion, one hundred fifty-two million, twenty-four thousand, three hundred forty".