21141960957360 has 480 divisors, whose sum is σ = 74510621872128. Its totient is φ = 5365556951040.

The previous prime is 21141960957353. The next prime is 21141960957379. The reversal of 21141960957360 is 6375906914112.

21141960957360 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 9 + 6 + 0 + 9 + 573 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21141960957297 and 21141960957306.

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, 916693189 + ... + 916716251.

Almost surely, 2^{21141960957360} is an apocalyptic number.

21141960957360 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 21141960957360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255310936064).

21141960957360 is an abundant number, since it is smaller than the sum of its proper divisors (53368660914768).

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

21141960957360 is a wasteful number, since it uses less digits than its factorization.

21141960957360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23793 (or 23784 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 21141960957360 in words is "twenty-one trillion, one hundred forty-one billion, nine hundred sixty million, nine hundred fifty-seven thousand, three hundred sixty".