153790894743552 has 1344 divisors, whose sum is σ = 524727557786880. Its totient is φ = 44397043384320.

The previous prime is 153790894743547. The next prime is 153790894743589. The reversal of 153790894743552 is 255347498097351.

153790894743552 is a `hidden beast` number, since 1 + 5 + 3 + 79 + 0 + 8 + 9 + 474 + 35 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266535345888 + ... + 266535346464.

It is an arithmetic number, because the mean of its divisors is an integer number (390422290020).

Almost surely, 2^{153790894743552} is an apocalyptic number.

153790894743552 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 153790894743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262363778893440).

153790894743552 is an abundant number, since it is smaller than the sum of its proper divisors (370936663043328).

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

153790894743552 is a wasteful number, since it uses less digits than its factorization.

153790894743552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 153790894743552 in words is "one hundred fifty-three trillion, seven hundred ninety billion, eight hundred ninety-four million, seven hundred forty-three thousand, five hundred fifty-two".