2151996456960 has 1824 divisors, whose sum is σ = 9553431885120. Its totient is φ = 456608710656.

The previous prime is 2151996456959. The next prime is 2151996456971. The reversal of 2151996456960 is 696546991512.

2151996456960 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 9 + 9 + 6 + 4 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 29479403484 + ... + 29479403556.

It is an arithmetic number, because the mean of its divisors is an integer number (5237627130).

Almost surely, 2^{2151996456960} is an apocalyptic number.

2151996456960 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 2151996456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776715942560).

2151996456960 is an abundant number, since it is smaller than the sum of its proper divisors (7401435428160).

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

2151996456960 is an frugal number, since it uses more digits than its factorization.

2151996456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 2151996456960 in words is "two trillion, one hundred fifty-one billion, nine hundred ninety-six million, four hundred fifty-six thousand, nine hundred sixty".