1578264564100 has 243 divisors, whose sum is σ = 4044152791119. Its totient is φ = 533068972800.

The previous prime is 1578264564077. The next prime is 1578264564193. The reversal of 1578264564100 is 14654628751.

The square root of 1578264564100 is 1256290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4604708164 + 1573659855936 = 67858^2 + 1254456^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11520179232 + ... + 11520179368.

Almost surely, 2^{1578264564100} is an apocalyptic number.

1578264564100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1578264564100 is the 1256290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1578264564100

1578264564100 is an abundant number, since it is smaller than the sum of its proper divisors (2465888227019).

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

1578264564100 is a wasteful number, since it uses less digits than its factorization.

1578264564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 1578264564100 by its sum of digits (49), we get a square (77334963640900 = 8794030²).

1578264564100 divided by its sum of digits (49) gives a square (32209480900 = 179470²).

The spelling of 1578264564100 in words is "one trillion, five hundred seventy-eight billion, two hundred sixty-four million, five hundred sixty-four thousand, one hundred".