1956320918100 has 180 divisors, whose sum is σ = 6360787237728. Its totient is φ = 520108776000.

The previous prime is 1956320918081. The next prime is 1956320918107. The reversal of 1956320918100 is 18190236591.

1956320918100 is a `hidden beast` number, since 1 + 9 + 5 + 632 + 0 + 9 + 1 + 8 + 1 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1956320918100² (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 not an unprimeable number, because it can be changed into a prime (1956320918107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2316265 + ... + 3045935.

Almost surely, 2^{1956320918100} is an apocalyptic number.

1956320918100 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 1956320918100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180393618864).

1956320918100 is an abundant number, since it is smaller than the sum of its proper divisors (4404466319628).

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

1956320918100 is a wasteful number, since it uses less digits than its factorization.

1956320918100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730028 (or 730012 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 1956320918100 in words is "one trillion, nine hundred fifty-six billion, three hundred twenty million, nine hundred eighteen thousand, one hundred".