1537264401120 has 1152 divisors, whose sum is σ = 6515510400000. Its totient is φ = 337121906688.

The previous prime is 1537264401103. The next prime is 1537264401181. The reversal of 1537264401120 is 211044627351.

1537264401120 is a `hidden beast` number, since 1 + 5 + 3 + 7 + 2 + 644 + 0 + 1 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1098830181 + ... + 1098831579.

It is an arithmetic number, because the mean of its divisors is an integer number (5655825000).

Almost surely, 2^{1537264401120} is an apocalyptic number.

1537264401120 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 1537264401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257755200000).

1537264401120 is an abundant number, since it is smaller than the sum of its proper divisors (4978245998880).

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

1537264401120 is a wasteful number, since it uses less digits than its factorization.

1537264401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1537264401120 in words is "one trillion, five hundred thirty-seven billion, two hundred sixty-four million, four hundred one thousand, one hundred twenty".