1956900552480 has 480 divisors, whose sum is σ = 7276052266560. Its totient is φ = 493943961600.

The previous prime is 1956900552469. The next prime is 1956900552527. The reversal of 1956900552480 is 842550096591.

1956900552480 is a `hidden beast` number, since 1 + 9 + 5 + 6 + 9 + 0 + 0 + 552 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357291502 + ... + 357296978.

It is an arithmetic number, because the mean of its divisors is an integer number (15158442222).

Almost surely, 2^{1956900552480} is an apocalyptic number.

1956900552480 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 1956900552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638026133280).

1956900552480 is an abundant number, since it is smaller than the sum of its proper divisors (5319151714080).

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

1956900552480 is a wasteful number, since it uses less digits than its factorization.

1956900552480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 1956900552480 in words is "one trillion, nine hundred fifty-six billion, nine hundred million, five hundred fifty-two thousand, four hundred eighty".