21514780196352 has 320 divisors, whose sum is σ = 65901540513600. Its totient is φ = 6922168565760.

The previous prime is 21514780196291. The next prime is 21514780196383. The reversal of 21514780196352 is 25369108741512.

21514780196352 is a `hidden beast` number, since 2 + 1 + 51 + 478 + 0 + 1 + 96 + 35 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1786787452 + ... + 1786799492.

It is an arithmetic number, because the mean of its divisors is an integer number (205942314105).

It is a 1-persistent number, because it is pandigital, but 2⋅21514780196352 = 43029560392704 is not.

Almost surely, 2^{21514780196352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21514780196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32950770256800).

21514780196352 is an abundant number, since it is smaller than the sum of its proper divisors (44386760317248).

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

21514780196352 is a wasteful number, since it uses less digits than its factorization.

21514780196352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16554 (or 16532 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 21514780196352 in words is "twenty-one trillion, five hundred fourteen billion, seven hundred eighty million, one hundred ninety-six thousand, three hundred fifty-two".