537104450534400 has 3696 divisors, whose sum is σ = 2449324994577984. Its totient is φ = 113927950172160.

The previous prime is 537104450534389. The next prime is 537104450534411. The reversal of 537104450534400 is 4435054401735.

537104450534400 is a `hidden beast` number, since 5 + 3 + 7 + 104 + 4 + 5 + 0 + 534 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (537104450534389) and next prime (537104450534411).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 162120267144 + ... + 162120270456.

Almost surely, 2^{537104450534400} is an apocalyptic number.

537104450534400 is a gapful number since it is divisible by the number (50) 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 537104450534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224662497288992).

537104450534400 is an abundant number, since it is smaller than the sum of its proper divisors (1912220544043584).

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

537104450534400 is a wasteful number, since it uses less digits than its factorization.

537104450534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 537104450534400 in words is "five hundred thirty-seven trillion, one hundred four billion, four hundred fifty million, five hundred thirty-four thousand, four hundred".