6250142545920 has 3072 divisors, whose sum is σ = 28737134899200. Its totient is φ = 1253635522560.

The previous prime is 6250142545919. The next prime is 6250142545939. The reversal of 6250142545920 is 295452410526.

6250142545920 is a `hidden beast` number, since 6 + 2 + 5 + 0 + 1 + 4 + 2 + 54 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75302922199 + ... + 75302922281.

It is an arithmetic number, because the mean of its divisors is an integer number (9354536100).

Almost surely, 2^{6250142545920} is an apocalyptic number.

6250142545920 is a gapful number since it is divisible by the number (60) 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 6250142545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368567449600).

6250142545920 is an abundant number, since it is smaller than the sum of its proper divisors (22486992353280).

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

6250142545920 is a wasteful number, since it uses less digits than its factorization.

6250142545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 6250142545920 in words is "six trillion, two hundred fifty billion, one hundred forty-two million, five hundred forty-five thousand, nine hundred twenty".