2157654343680 has 1536 divisors, whose sum is σ = 8785884240000. Its totient is φ = 501397585920.

The previous prime is 2157654343673. The next prime is 2157654343681. The reversal of 2157654343680 is 863434567512.

2157654343680 is a `hidden beast` number, since 2 + 1 + 57 + 6 + 543 + 43 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157654343681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15522693051 + ... + 15522693189.

Almost surely, 2^{2157654343680} is an apocalyptic number.

2157654343680 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 2157654343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392942120000).

2157654343680 is an abundant number, since it is smaller than the sum of its proper divisors (6628229896320).

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

2157654343680 is a wasteful number, since it uses less digits than its factorization.

2157654343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2157654343680 in words is "two trillion, one hundred fifty-seven billion, six hundred fifty-four million, three hundred forty-three thousand, six hundred eighty".