1956164515200 has 2880 divisors, whose sum is σ = 8950132065600. Its totient is φ = 418780938240.

The previous prime is 1956164515183. The next prime is 1956164515241. The reversal of 1956164515200 is 25154616591.

1956164515200 is a `hidden beast` number, since 1 + 9 + 5 + 61 + 64 + 5 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1956164515200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17311190344 + ... + 17311190456.

It is an arithmetic number, because the mean of its divisors is an integer number (3107684745).

Almost surely, 2^{1956164515200} is an apocalyptic number.

1956164515200 is a gapful number since it is divisible by the number (10) 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 1956164515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475066032800).

1956164515200 is an abundant number, since it is smaller than the sum of its proper divisors (6993967550400).

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

1956164515200 is a wasteful number, since it uses less digits than its factorization.

1956164515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1956164515200 in words is "one trillion, nine hundred fifty-six billion, one hundred sixty-four million, five hundred fifteen thousand, two hundred".