150630036480000 has 5600 divisors, whose sum is σ = 722332803012480. Its totient is φ = 30364139520000.

The previous prime is 150630036479981. The next prime is 150630036480047. The reversal of 150630036480000 is 84630036051.

150630036480000 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 3 + 0 + 0 + 3 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5600).

It is a super-2 number, since 2×150630036480000² (a number of 29 digits) contains 22 as substring.

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 399 ways as a sum of consecutive naturals, for example, 1692472319956 + ... + 1692472320044.

Almost surely, 2^{150630036480000} is an apocalyptic number.

150630036480000 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 150630036480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361166401506240).

150630036480000 is an abundant number, since it is smaller than the sum of its proper divisors (571702766532480).

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

150630036480000 is an frugal number, since it uses more digits than its factorization.

150630036480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 150630036480000 in words is "one hundred fifty trillion, six hundred thirty billion, thirty-six million, four hundred eighty thousand".