2151479181600 has 1296 divisors, whose sum is σ = 9488823926400. Its totient is φ = 455905013760.

The previous prime is 2151479181587. The next prime is 2151479181601. The reversal of 2151479181600 is 61819741512.

2151479181600 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 479 + 18 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2151479181601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 315046986 + ... + 315053814.

It is an arithmetic number, because the mean of its divisors is an integer number (7321623400).

Almost surely, 2^{2151479181600} is an apocalyptic number.

2151479181600 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 2151479181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744411963200).

2151479181600 is an abundant number, since it is smaller than the sum of its proper divisors (7337344744800).

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

2151479181600 is a wasteful number, since it uses less digits than its factorization.

2151479181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 2151479181600 in words is "two trillion, one hundred fifty-one billion, four hundred seventy-nine million, one hundred eighty-one thousand, six hundred".