1537412003712 has 1152 divisors, whose sum is σ = 5311298304000. Its totient is φ = 424977186816.

The previous prime is 1537412003707. The next prime is 1537412003713. The reversal of 1537412003712 is 2173002147351.

1537412003712 is a `hidden beast` number, since 15 + 3 + 74 + 1 + 200 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1537412003713) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6432686089 + ... + 6432686327.

It is an arithmetic number, because the mean of its divisors is an integer number (4610502000).

Almost surely, 2^{1537412003712} is an apocalyptic number.

1537412003712 is a gapful number since it is divisible by the number (12) 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 1537412003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655649152000).

1537412003712 is an abundant number, since it is smaller than the sum of its proper divisors (3773886300288).

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

1537412003712 is a wasteful number, since it uses less digits than its factorization.

1537412003712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 1537412003712 in words is "one trillion, five hundred thirty-seven billion, four hundred twelve million, three thousand, seven hundred twelve".