1542856896 has 560 divisors, whose sum is σ = 5762256192. Its totient is φ = 398131200.

The previous prime is 1542856891. The next prime is 1542856897. The reversal of 1542856896 is 6986582451.

1542856896 is a `hidden beast` number, since 1 + 54 + 28 + 568 + 9 + 6 = 666.

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

Its product of digits (4147200) is a multiple of the sum of its prime factors (150).

It is not an unprimeable number, because it can be changed into a prime (1542856891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25292706 + ... + 25292766.

Almost surely, 2^1542856896 is an apocalyptic number.

1542856896 is a gapful number since it is divisible by the number (16) 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 1542856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881128096).

1542856896 is an abundant number, since it is smaller than the sum of its proper divisors (4219399296).

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

1542856896 is a wasteful number, since it uses less digits than its factorization.

1542856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 1542856896 is about 39279.2171001409. The cubic root of 1542856896 is about 1155.5140097051.

The spelling of 1542856896 in words is "one billion, five hundred forty-two million, eight hundred fifty-six thousand, eight hundred ninety-six".